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Finding the Fourth Proportional to 2,581.32, 3,871.48 and 731.98

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Solution

The fourth proportional to 2,581.32, 3,871.48 and 731.98 is: 1,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.32 : 3,871.48 = 731.98 : x
  2. Step 2: Convert to fraction form
    2,581.32/3,871.48 = 731.98/x
  3. Step 3: Cross multiply
    2,581.32x = 3,871.48 × 731.98
  4. Step 4: Simplify right side
    2,581.32x = 2,833,845.93
  5. Step 5: Solve for x
    x = 2,833,845.93/2,581.32
  6. Step 6: Final answer
    x = 1,097.83

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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.