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Finding the Fourth Proportional to 2,691.83, 4,034.30 and 1,456.18

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Solution

The fourth proportional to 2,691.83, 4,034.30 and 1,456.18 is: 2,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.83 : 4,034.30 = 1,456.18 : x
  2. Step 2: Convert to fraction form
    2,691.83/4,034.30 = 1,456.18/x
  3. Step 3: Cross multiply
    2,691.83x = 4,034.30 × 1,456.18
  4. Step 4: Simplify right side
    2,691.83x = 5,874,666.97
  5. Step 5: Solve for x
    x = 5,874,666.97/2,691.83
  6. Step 6: Final answer
    x = 2,182.41

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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.