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Finding the Fourth Proportional to 1,447.52, 2,171.28 and 351.89

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Solution

The fourth proportional to 1,447.52, 2,171.28 and 351.89 is: 527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.52 : 2,171.28 = 351.89 : x
  2. Step 2: Convert to fraction form
    1,447.52/2,171.28 = 351.89/x
  3. Step 3: Cross multiply
    1,447.52x = 2,171.28 × 351.89
  4. Step 4: Simplify right side
    1,447.52x = 764,049.01
  5. Step 5: Solve for x
    x = 764,049.01/1,447.52
  6. Step 6: Final answer
    x = 527.83

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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.