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Finding the Fourth Proportional to 1,414.80, 1,951.56 and 994.41

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Solution

The fourth proportional to 1,414.80, 1,951.56 and 994.41 is: 1,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.80 : 1,951.56 = 994.41 : x
  2. Step 2: Convert to fraction form
    1,414.80/1,951.56 = 994.41/x
  3. Step 3: Cross multiply
    1,414.80x = 1,951.56 × 994.41
  4. Step 4: Simplify right side
    1,414.80x = 1,940,650.78
  5. Step 5: Solve for x
    x = 1,940,650.78/1,414.80
  6. Step 6: Final answer
    x = 1,371.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.