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Finding the Fourth Proportional to 2,635.61, 3,951.34 and 991.96

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Solution

The fourth proportional to 2,635.61, 3,951.34 and 991.96 is: 1,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.61 : 3,951.34 = 991.96 : x
  2. Step 2: Convert to fraction form
    2,635.61/3,951.34 = 991.96/x
  3. Step 3: Cross multiply
    2,635.61x = 3,951.34 × 991.96
  4. Step 4: Simplify right side
    2,635.61x = 3,919,558.87
  5. Step 5: Solve for x
    x = 3,919,558.87/2,635.61
  6. Step 6: Final answer
    x = 1,487.16

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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.