I do not know of any such converter, but I'm sure it exists. If I were you though I would just get an amp that takes balanced inputs. JL XD600/1 does, but I'm sure there are others as well.
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Mobridge DA2 > JBL MS-8 > ARC XDi 600/4 > JBL Gti 408 Mids & Vifa OT19 Tweeters; PG Ti2 1600.5 > Morel HCW-10 & IDMax 15
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