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Finding the Fourth Proportional to 3,146.92, 4,730.87 and 2,229.05

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Solution

The fourth proportional to 3,146.92, 4,730.87 and 2,229.05 is: 3,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.92 : 4,730.87 = 2,229.05 : x
  2. Step 2: Convert to fraction form
    3,146.92/4,730.87 = 2,229.05/x
  3. Step 3: Cross multiply
    3,146.92x = 4,730.87 × 2,229.05
  4. Step 4: Simplify right side
    3,146.92x = 10,545,363.17
  5. Step 5: Solve for x
    x = 10,545,363.17/3,146.92
  6. Step 6: Final answer
    x = 3,351.01

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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.