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Finding the Fourth Proportional to 2,491.52, 3,734.96 and 1,564.26

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Solution

The fourth proportional to 2,491.52, 3,734.96 and 1,564.26 is: 2,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.52 : 3,734.96 = 1,564.26 : x
  2. Step 2: Convert to fraction form
    2,491.52/3,734.96 = 1,564.26/x
  3. Step 3: Cross multiply
    2,491.52x = 3,734.96 × 1,564.26
  4. Step 4: Simplify right side
    2,491.52x = 5,842,448.53
  5. Step 5: Solve for x
    x = 5,842,448.53/2,491.52
  6. Step 6: Final answer
    x = 2,344.93

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