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Finding the Fourth Proportional to 2,712.71, 3,740.84 and 2,042.12

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Solution

The fourth proportional to 2,712.71, 3,740.84 and 2,042.12 is: 2,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.71 : 3,740.84 = 2,042.12 : x
  2. Step 2: Convert to fraction form
    2,712.71/3,740.84 = 2,042.12/x
  3. Step 3: Cross multiply
    2,712.71x = 3,740.84 × 2,042.12
  4. Step 4: Simplify right side
    2,712.71x = 7,639,244.18
  5. Step 5: Solve for x
    x = 7,639,244.18/2,712.71
  6. Step 6: Final answer
    x = 2,816.09

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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.