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Finding the Fourth Proportional to 1,691.28, 2,536.92 and 960.90

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Solution

The fourth proportional to 1,691.28, 2,536.92 and 960.90 is: 1,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.28 : 2,536.92 = 960.90 : x
  2. Step 2: Convert to fraction form
    1,691.28/2,536.92 = 960.90/x
  3. Step 3: Cross multiply
    1,691.28x = 2,536.92 × 960.90
  4. Step 4: Simplify right side
    1,691.28x = 2,437,726.43
  5. Step 5: Solve for x
    x = 2,437,726.43/1,691.28
  6. Step 6: Final answer
    x = 1,441.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.