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Finding the Fourth Proportional to 1,251.28, 1,878.22 and 922.60

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Solution

The fourth proportional to 1,251.28, 1,878.22 and 922.60 is: 1,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.28 : 1,878.22 = 922.60 : x
  2. Step 2: Convert to fraction form
    1,251.28/1,878.22 = 922.60/x
  3. Step 3: Cross multiply
    1,251.28x = 1,878.22 × 922.60
  4. Step 4: Simplify right side
    1,251.28x = 1,732,845.77
  5. Step 5: Solve for x
    x = 1,732,845.77/1,251.28
  6. Step 6: Final answer
    x = 1,384.86

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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.