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Finding the Fourth Proportional to 3,169.26, 4,754.37 and 1,414.86

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Solution

The fourth proportional to 3,169.26, 4,754.37 and 1,414.86 is: 2,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.26 : 4,754.37 = 1,414.86 : x
  2. Step 2: Convert to fraction form
    3,169.26/4,754.37 = 1,414.86/x
  3. Step 3: Cross multiply
    3,169.26x = 4,754.37 × 1,414.86
  4. Step 4: Simplify right side
    3,169.26x = 6,726,767.94
  5. Step 5: Solve for x
    x = 6,726,767.94/3,169.26
  6. Step 6: Final answer
    x = 2,122.50

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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.