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Finding the Fourth Proportional to 2,523.27, 3,785.13 and 1,042.17

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Solution

The fourth proportional to 2,523.27, 3,785.13 and 1,042.17 is: 1,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.27 : 3,785.13 = 1,042.17 : x
  2. Step 2: Convert to fraction form
    2,523.27/3,785.13 = 1,042.17/x
  3. Step 3: Cross multiply
    2,523.27x = 3,785.13 × 1,042.17
  4. Step 4: Simplify right side
    2,523.27x = 3,944,748.93
  5. Step 5: Solve for x
    x = 3,944,748.93/2,523.27
  6. Step 6: Final answer
    x = 1,563.35

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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.