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Finding the Fourth Proportional to 3,077.96, 4,614.20 and 1,129.71

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Solution

The fourth proportional to 3,077.96, 4,614.20 and 1,129.71 is: 1,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.96 : 4,614.20 = 1,129.71 : x
  2. Step 2: Convert to fraction form
    3,077.96/4,614.20 = 1,129.71/x
  3. Step 3: Cross multiply
    3,077.96x = 4,614.20 × 1,129.71
  4. Step 4: Simplify right side
    3,077.96x = 5,212,704.17
  5. Step 5: Solve for x
    x = 5,212,704.17/3,077.96
  6. Step 6: Final answer
    x = 1,693.56

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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.