Andrea has a portfolio consisting of $350 in Stock A (which has a beta of 1.5), $450 in Stock B (which has a beta of 2.2), and $325 in the risk-free asset. She has an additional $400 to invest, and she wishes to invest them in a way that the beta of her new portfolio will be twice as risky as the market. What is the average beta of the securities she will add to build her new portfolio?