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Finding the Fourth Proportional to 1,279.43, 1,921.43 and 1,076.68

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Solution

The fourth proportional to 1,279.43, 1,921.43 and 1,076.68 is: 1,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.43 : 1,921.43 = 1,076.68 : x
  2. Step 2: Convert to fraction form
    1,279.43/1,921.43 = 1,076.68/x
  3. Step 3: Cross multiply
    1,279.43x = 1,921.43 × 1,076.68
  4. Step 4: Simplify right side
    1,279.43x = 2,068,765.25
  5. Step 5: Solve for x
    x = 2,068,765.25/1,279.43
  6. Step 6: Final answer
    x = 1,616.94

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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.