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Finding the Fourth Proportional to 1,414.76, 1,951.10 and 916.90

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Solution

The fourth proportional to 1,414.76, 1,951.10 and 916.90 is: 1,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.76 : 1,951.10 = 916.90 : x
  2. Step 2: Convert to fraction form
    1,414.76/1,951.10 = 916.90/x
  3. Step 3: Cross multiply
    1,414.76x = 1,951.10 × 916.90
  4. Step 4: Simplify right side
    1,414.76x = 1,788,963.59
  5. Step 5: Solve for x
    x = 1,788,963.59/1,414.76
  6. Step 6: Final answer
    x = 1,264.50

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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.