A state lottery sells 52000 tickets. Of these, 1 wins the grand prize which is a perpetuity with equal annual payments of 1200 dollars, with the first payment coming 1 year from now. In addition, 660 other tickets pay a prize of 400 dollars, and 450 tickets pay a prize of 220 dollars. (The rest of the tickets win nothing.) Assuming an effective rate of 7.2 percent for the perpetuity, what is the price of a single ticket so that this is a "fair" lottery?
Answer = dollars.