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Finding the Fourth Proportional to 3,380.80, 5,071.62 and 1,432.76

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Solution

The fourth proportional to 3,380.80, 5,071.62 and 1,432.76 is: 2,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.80 : 5,071.62 = 1,432.76 : x
  2. Step 2: Convert to fraction form
    3,380.80/5,071.62 = 1,432.76/x
  3. Step 3: Cross multiply
    3,380.80x = 5,071.62 × 1,432.76
  4. Step 4: Simplify right side
    3,380.80x = 7,266,414.27
  5. Step 5: Solve for x
    x = 7,266,414.27/3,380.80
  6. Step 6: Final answer
    x = 2,149.32

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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.