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Finding the Fourth Proportional to 2,231.52, 3,347.58 and 932.68

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Solution

The fourth proportional to 2,231.52, 3,347.58 and 932.68 is: 1,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.52 : 3,347.58 = 932.68 : x
  2. Step 2: Convert to fraction form
    2,231.52/3,347.58 = 932.68/x
  3. Step 3: Cross multiply
    2,231.52x = 3,347.58 × 932.68
  4. Step 4: Simplify right side
    2,231.52x = 3,122,220.91
  5. Step 5: Solve for x
    x = 3,122,220.91/2,231.52
  6. Step 6: Final answer
    x = 1,399.15

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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.