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Finding the Fourth Proportional to 3,031.78, 4,542.81 and 2,740.18

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Solution

The fourth proportional to 3,031.78, 4,542.81 and 2,740.18 is: 4,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.78 : 4,542.81 = 2,740.18 : x
  2. Step 2: Convert to fraction form
    3,031.78/4,542.81 = 2,740.18/x
  3. Step 3: Cross multiply
    3,031.78x = 4,542.81 × 2,740.18
  4. Step 4: Simplify right side
    3,031.78x = 12,448,117.11
  5. Step 5: Solve for x
    x = 12,448,117.11/3,031.78
  6. Step 6: Final answer
    x = 4,105.88

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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.