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Finding the Fourth Proportional to 2,067.19, 3,100.78 and 834.58

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Solution

The fourth proportional to 2,067.19, 3,100.78 and 834.58 is: 1,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.19 : 3,100.78 = 834.58 : x
  2. Step 2: Convert to fraction form
    2,067.19/3,100.78 = 834.58/x
  3. Step 3: Cross multiply
    2,067.19x = 3,100.78 × 834.58
  4. Step 4: Simplify right side
    2,067.19x = 2,587,848.97
  5. Step 5: Solve for x
    x = 2,587,848.97/2,067.19
  6. Step 6: Final answer
    x = 1,251.87

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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.