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Finding the Fourth Proportional to 3,091.26, 4,265.92 and 1,694

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Solution

The fourth proportional to 3,091.26, 4,265.92 and 1,694 is: 2,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.26 : 4,265.92 = 1,694 : x
  2. Step 2: Convert to fraction form
    3,091.26/4,265.92 = 1,694/x
  3. Step 3: Cross multiply
    3,091.26x = 4,265.92 × 1,694
  4. Step 4: Simplify right side
    3,091.26x = 7,226,468.48
  5. Step 5: Solve for x
    x = 7,226,468.48/3,091.26
  6. Step 6: Final answer
    x = 2,337.71

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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.