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Finding the Fourth Proportional to 1,374, 1,892.23 and 1,250.97

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Solution

The fourth proportional to 1,374, 1,892.23 and 1,250.97 is: 1,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374 : 1,892.23 = 1,250.97 : x
  2. Step 2: Convert to fraction form
    1,374/1,892.23 = 1,250.97/x
  3. Step 3: Cross multiply
    1,374x = 1,892.23 × 1,250.97
  4. Step 4: Simplify right side
    1,374x = 2,367,122.96
  5. Step 5: Solve for x
    x = 2,367,122.96/1,374
  6. Step 6: Final answer
    x = 1,722.80

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Why These Related Problems?

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