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Finding the Fourth Proportional to 2,981.97, 4,472.42 and 1,338.57

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Solution

The fourth proportional to 2,981.97, 4,472.42 and 1,338.57 is: 2,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.97 : 4,472.42 = 1,338.57 : x
  2. Step 2: Convert to fraction form
    2,981.97/4,472.42 = 1,338.57/x
  3. Step 3: Cross multiply
    2,981.97x = 4,472.42 × 1,338.57
  4. Step 4: Simplify right side
    2,981.97x = 5,986,640.55
  5. Step 5: Solve for x
    x = 5,986,640.55/2,981.97
  6. Step 6: Final answer
    x = 2,007.61

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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.