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Finding the Fourth Proportional to 2,067.43, 3,101.24 and 834.68

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Solution

The fourth proportional to 2,067.43, 3,101.24 and 834.68 is: 1,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.43 : 3,101.24 = 834.68 : x
  2. Step 2: Convert to fraction form
    2,067.43/3,101.24 = 834.68/x
  3. Step 3: Cross multiply
    2,067.43x = 3,101.24 × 834.68
  4. Step 4: Simplify right side
    2,067.43x = 2,588,552.84
  5. Step 5: Solve for x
    x = 2,588,552.84/2,067.43
  6. Step 6: Final answer
    x = 1,252.06

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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.