On January 1, 1998, John deposited $ 1000 into Bank X to earn interest at rate i per annum compounded semiannually. On January 1, 2003, he transferred his account to Bank Y to earn interest at rate j per annum compounded bimonthly. On January 1, 2006, the balance at Bank Y is $ 1803.41. If John could have earned interest at rate j per annum compounded bimonthly for the entire eight years, his balance would have been $ 2022.68. Calculate the ratio of j to i.