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Finding the Fourth Proportional to 2,635.48, 3,951.42 and 991.72

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Solution

The fourth proportional to 2,635.48, 3,951.42 and 991.72 is: 1,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.48 : 3,951.42 = 991.72 : x
  2. Step 2: Convert to fraction form
    2,635.48/3,951.42 = 991.72/x
  3. Step 3: Cross multiply
    2,635.48x = 3,951.42 × 991.72
  4. Step 4: Simplify right side
    2,635.48x = 3,918,702.24
  5. Step 5: Solve for x
    x = 3,918,702.24/2,635.48
  6. Step 6: Final answer
    x = 1,486.90

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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.