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Finding the Fourth Proportional to 2,274.49, 3,138.42 and 1,279.71

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Solution

The fourth proportional to 2,274.49, 3,138.42 and 1,279.71 is: 1,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.49 : 3,138.42 = 1,279.71 : x
  2. Step 2: Convert to fraction form
    2,274.49/3,138.42 = 1,279.71/x
  3. Step 3: Cross multiply
    2,274.49x = 3,138.42 × 1,279.71
  4. Step 4: Simplify right side
    2,274.49x = 4,016,245.37
  5. Step 5: Solve for x
    x = 4,016,245.37/2,274.49
  6. Step 6: Final answer
    x = 1,765.78

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