On January 1, 2010, Jack deposited $1000 into Bank X to earn interest at the rate of j per annum compounded semiannually. On January 1, 2012 he transferred his account to Bank Y to earn interest at the rate of k per annum compounded quarterly. On January 1, 2018, the balance at Bank Y was $2243.35. If Jack could have earned interest at the rate of k per annum compounded quarterly from January 1, 2010, through January 1, 20182018, his balance would have been $2382.42. Calculate the ratio k/j.