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Finding the Fourth Proportional to 1,581.29, 2,372.25 and 801.73

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Solution

The fourth proportional to 1,581.29, 2,372.25 and 801.73 is: 1,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.29 : 2,372.25 = 801.73 : x
  2. Step 2: Convert to fraction form
    1,581.29/2,372.25 = 801.73/x
  3. Step 3: Cross multiply
    1,581.29x = 2,372.25 × 801.73
  4. Step 4: Simplify right side
    1,581.29x = 1,901,909.96
  5. Step 5: Solve for x
    x = 1,901,909.96/1,581.29
  6. Step 6: Final answer
    x = 1,202.76

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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.