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Finding the Fourth Proportional to 1,672.20, 2,306.97 and 963.72

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Solution

The fourth proportional to 1,672.20, 2,306.97 and 963.72 is: 1,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.20 : 2,306.97 = 963.72 : x
  2. Step 2: Convert to fraction form
    1,672.20/2,306.97 = 963.72/x
  3. Step 3: Cross multiply
    1,672.20x = 2,306.97 × 963.72
  4. Step 4: Simplify right side
    1,672.20x = 2,223,273.13
  5. Step 5: Solve for x
    x = 2,223,273.13/1,672.20
  6. Step 6: Final answer
    x = 1,329.55

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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.