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Finding the Fourth Proportional to 2,562.16, 3,837.48 and 1,585.48

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Solution

The fourth proportional to 2,562.16, 3,837.48 and 1,585.48 is: 2,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.16 : 3,837.48 = 1,585.48 : x
  2. Step 2: Convert to fraction form
    2,562.16/3,837.48 = 1,585.48/x
  3. Step 3: Cross multiply
    2,562.16x = 3,837.48 × 1,585.48
  4. Step 4: Simplify right side
    2,562.16x = 6,084,247.79
  5. Step 5: Solve for x
    x = 6,084,247.79/2,562.16
  6. Step 6: Final answer
    x = 2,374.66

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