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Finding the Fourth Proportional to 1,280.17, 1,921.20 and 951.87

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Solution

The fourth proportional to 1,280.17, 1,921.20 and 951.87 is: 1,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.17 : 1,921.20 = 951.87 : x
  2. Step 2: Convert to fraction form
    1,280.17/1,921.20 = 951.87/x
  3. Step 3: Cross multiply
    1,280.17x = 1,921.20 × 951.87
  4. Step 4: Simplify right side
    1,280.17x = 1,828,732.64
  5. Step 5: Solve for x
    x = 1,828,732.64/1,280.17
  6. Step 6: Final answer
    x = 1,428.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.