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Finding the Fourth Proportional to 2,581.34, 3,871.85 and 732.20

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Solution

The fourth proportional to 2,581.34, 3,871.85 and 732.20 is: 1,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.34 : 3,871.85 = 732.20 : x
  2. Step 2: Convert to fraction form
    2,581.34/3,871.85 = 732.20/x
  3. Step 3: Cross multiply
    2,581.34x = 3,871.85 × 732.20
  4. Step 4: Simplify right side
    2,581.34x = 2,834,945.55
  5. Step 5: Solve for x
    x = 2,834,945.55/2,581.34
  6. Step 6: Final answer
    x = 1,098.25

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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.