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Finding the Fourth Proportional to 2,691.38, 4,036.91 and 842.27

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Solution

The fourth proportional to 2,691.38, 4,036.91 and 842.27 is: 1,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.38 : 4,036.91 = 842.27 : x
  2. Step 2: Convert to fraction form
    2,691.38/4,036.91 = 842.27/x
  3. Step 3: Cross multiply
    2,691.38x = 4,036.91 × 842.27
  4. Step 4: Simplify right side
    2,691.38x = 3,400,180.38
  5. Step 5: Solve for x
    x = 3,400,180.38/2,691.38
  6. Step 6: Final answer
    x = 1,263.36

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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.