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Finding the Fourth Proportional to 1,280.46, 1,921.65 and 952.17

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Solution

The fourth proportional to 1,280.46, 1,921.65 and 952.17 is: 1,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.46 : 1,921.65 = 952.17 : x
  2. Step 2: Convert to fraction form
    1,280.46/1,921.65 = 952.17/x
  3. Step 3: Cross multiply
    1,280.46x = 1,921.65 × 952.17
  4. Step 4: Simplify right side
    1,280.46x = 1,829,737.48
  5. Step 5: Solve for x
    x = 1,829,737.48/1,280.46
  6. Step 6: Final answer
    x = 1,428.97

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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.