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Finding the Fourth Proportional to 2,981.71, 4,472.61 and 901.73

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Solution

The fourth proportional to 2,981.71, 4,472.61 and 901.73 is: 1,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.71 : 4,472.61 = 901.73 : x
  2. Step 2: Convert to fraction form
    2,981.71/4,472.61 = 901.73/x
  3. Step 3: Cross multiply
    2,981.71x = 4,472.61 × 901.73
  4. Step 4: Simplify right side
    2,981.71x = 4,033,086.62
  5. Step 5: Solve for x
    x = 4,033,086.62/2,981.71
  6. Step 6: Final answer
    x = 1,352.61

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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.