On January 1, 1998, John deposited $1000 into Bank X to earn interest at rate i per annum compounded bimonthly. On January 1, 2003, he transferred his account to Bank Y to earn interest at rate j per annum compounded semiannually. On January 1, 2006, the balance at Bank Y is$ 1704.34. If John could have earned interest at rate j per annum compounded semiannually for the entire eight years, his balance would have been \$ 1961.99. Calculate the ratio of j to i.

Ratio of j to i= ?