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Finding the Fourth Proportional to 2,315.49, 3,472.41 and 671.61

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Solution

The fourth proportional to 2,315.49, 3,472.41 and 671.61 is: 1,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.49 : 3,472.41 = 671.61 : x
  2. Step 2: Convert to fraction form
    2,315.49/3,472.41 = 671.61/x
  3. Step 3: Cross multiply
    2,315.49x = 3,472.41 × 671.61
  4. Step 4: Simplify right side
    2,315.49x = 2,332,105.28
  5. Step 5: Solve for x
    x = 2,332,105.28/2,315.49
  6. Step 6: Final answer
    x = 1,007.18

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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.