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Finding the Fourth Proportional to 2,274.68, 3,138.76 and 1,279.80

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Solution

The fourth proportional to 2,274.68, 3,138.76 and 1,279.80 is: 1,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.68 : 3,138.76 = 1,279.80 : x
  2. Step 2: Convert to fraction form
    2,274.68/3,138.76 = 1,279.80/x
  3. Step 3: Cross multiply
    2,274.68x = 3,138.76 × 1,279.80
  4. Step 4: Simplify right side
    2,274.68x = 4,016,985.05
  5. Step 5: Solve for x
    x = 4,016,985.05/2,274.68
  6. Step 6: Final answer
    x = 1,765.96

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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.