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Finding the Fourth Proportional to 2,754.76, 4,138.62 and 2,540.92

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Solution

The fourth proportional to 2,754.76, 4,138.62 and 2,540.92 is: 3,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.76 : 4,138.62 = 2,540.92 : x
  2. Step 2: Convert to fraction form
    2,754.76/4,138.62 = 2,540.92/x
  3. Step 3: Cross multiply
    2,754.76x = 4,138.62 × 2,540.92
  4. Step 4: Simplify right side
    2,754.76x = 10,515,902.33
  5. Step 5: Solve for x
    x = 10,515,902.33/2,754.76
  6. Step 6: Final answer
    x = 3,817.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.