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Finding the Fourth Proportional to 2,086.27, 3,129.53 and 991.69

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Solution

The fourth proportional to 2,086.27, 3,129.53 and 991.69 is: 1,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.27 : 3,129.53 = 991.69 : x
  2. Step 2: Convert to fraction form
    2,086.27/3,129.53 = 991.69/x
  3. Step 3: Cross multiply
    2,086.27x = 3,129.53 × 991.69
  4. Step 4: Simplify right side
    2,086.27x = 3,103,523.61
  5. Step 5: Solve for x
    x = 3,103,523.61/2,086.27
  6. Step 6: Final answer
    x = 1,487.59

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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.