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Finding the Fourth Proportional to 3,149.60, 4,724.27 and 809.61

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Solution

The fourth proportional to 3,149.60, 4,724.27 and 809.61 is: 1,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.60 : 4,724.27 = 809.61 : x
  2. Step 2: Convert to fraction form
    3,149.60/4,724.27 = 809.61/x
  3. Step 3: Cross multiply
    3,149.60x = 4,724.27 × 809.61
  4. Step 4: Simplify right side
    3,149.60x = 3,824,812.19
  5. Step 5: Solve for x
    x = 3,824,812.19/3,149.60
  6. Step 6: Final answer
    x = 1,214.38

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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.