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Finding the Fourth Proportional to 1,562.64, 2,343.60 and 637.92

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Solution

The fourth proportional to 1,562.64, 2,343.60 and 637.92 is: 956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.64 : 2,343.60 = 637.92 : x
  2. Step 2: Convert to fraction form
    1,562.64/2,343.60 = 637.92/x
  3. Step 3: Cross multiply
    1,562.64x = 2,343.60 × 637.92
  4. Step 4: Simplify right side
    1,562.64x = 1,495,029.31
  5. Step 5: Solve for x
    x = 1,495,029.31/1,562.64
  6. Step 6: Final answer
    x = 956.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.