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Finding the Fourth Proportional to 4,154.59, 6,229.71 and 1,380.61

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Solution

The fourth proportional to 4,154.59, 6,229.71 and 1,380.61 is: 2,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.59 : 6,229.71 = 1,380.61 : x
  2. Step 2: Convert to fraction form
    4,154.59/6,229.71 = 1,380.61/x
  3. Step 3: Cross multiply
    4,154.59x = 6,229.71 × 1,380.61
  4. Step 4: Simplify right side
    4,154.59x = 8,600,799.92
  5. Step 5: Solve for x
    x = 8,600,799.92/4,154.59
  6. Step 6: Final answer
    x = 2,070.19

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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.