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Finding the Fourth Proportional to 2,027.91, 3,042.27 and 641.38

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Solution

The fourth proportional to 2,027.91, 3,042.27 and 641.38 is: 962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.91 : 3,042.27 = 641.38 : x
  2. Step 2: Convert to fraction form
    2,027.91/3,042.27 = 641.38/x
  3. Step 3: Cross multiply
    2,027.91x = 3,042.27 × 641.38
  4. Step 4: Simplify right side
    2,027.91x = 1,951,235.92
  5. Step 5: Solve for x
    x = 1,951,235.92/2,027.91
  6. Step 6: Final answer
    x = 962.19

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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.