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Finding the Fourth Proportional to 3,067.38, 4,233.78 and 1,948.86

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Solution

The fourth proportional to 3,067.38, 4,233.78 and 1,948.86 is: 2,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.38 : 4,233.78 = 1,948.86 : x
  2. Step 2: Convert to fraction form
    3,067.38/4,233.78 = 1,948.86/x
  3. Step 3: Cross multiply
    3,067.38x = 4,233.78 × 1,948.86
  4. Step 4: Simplify right side
    3,067.38x = 8,251,044.49
  5. Step 5: Solve for x
    x = 8,251,044.49/3,067.38
  6. Step 6: Final answer
    x = 2,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.