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Finding the Fourth Proportional to 2,754.27, 4,127.09 and 2,341.71

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Solution

The fourth proportional to 2,754.27, 4,127.09 and 2,341.71 is: 3,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.27 : 4,127.09 = 2,341.71 : x
  2. Step 2: Convert to fraction form
    2,754.27/4,127.09 = 2,341.71/x
  3. Step 3: Cross multiply
    2,754.27x = 4,127.09 × 2,341.71
  4. Step 4: Simplify right side
    2,754.27x = 9,664,436.22
  5. Step 5: Solve for x
    x = 9,664,436.22/2,754.27
  6. Step 6: Final answer
    x = 3,508.89

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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.