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Finding the Fourth Proportional to 1,736.97, 2,397.15 and 991.16

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Solution

The fourth proportional to 1,736.97, 2,397.15 and 991.16 is: 1,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.97 : 2,397.15 = 991.16 : x
  2. Step 2: Convert to fraction form
    1,736.97/2,397.15 = 991.16/x
  3. Step 3: Cross multiply
    1,736.97x = 2,397.15 × 991.16
  4. Step 4: Simplify right side
    1,736.97x = 2,375,947.21
  5. Step 5: Solve for x
    x = 2,375,947.21/1,736.97
  6. Step 6: Final answer
    x = 1,367.87

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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.