Galadriel's intentions.

[Boromir88]

I may have said this before, but I'm going to say it again, I've really enjoyed reading this thread, some excellent posts have been made.

To sort of further the debate for those interested about would Aragorn go to Minas Tirith if Boromir had not forced Frodo to leave...I go back to an orignal point, that there would have been no urgency for Frodo to leave if he hadn't noticed the Fellowship being corrupted by the Ring (mainly Boromir). If Boromir by some chance was able to supress his desires further, I could really see the whole company heading to Minas Tirith. We know Boromir wants to go there, when Aragorn, Legolas, and Gimli discussed, Legolas and Gimli both said their vote is to Minas Tirith...

Legolas: "Let us call him back and then vote! I should vote for Minas Tirith."
Gimli: "And so should I."

At this point Aragorn isn't so sure about heading away with Boromir...

If you would let me choose, then I should appoint three companions: Sam, who could not bear it otherwise; and Gimli; and myself. Boromir will return to his own city, where his father and his people need him..."

So right before Boromir returns Aragorn is committed to Frodo. It isn't until Aragorn figures out that Frodo wanted to go alone (or only with Sam) when he decides his clear path is Minas Tirith.

However, if Boromir doesn't go with Frodo, Frodo would not have been able to bring himself to leave the company. He already found it hard AFTER Boromir tried to take the ring. And with Legolas, Gimli, Boromir, Merry, Pippin, and Aragorn leaving the choice to Frodo, I think he would choose Minas Tirith. Sam would follow Frodo, Aragorn would be the lone one, and clearly makes it (at this point) that he will stay with Frodo.