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Finding the Fourth Proportional to 3,174.14, 4,761.21 and 865.66

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Solution

The fourth proportional to 3,174.14, 4,761.21 and 865.66 is: 1,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.14 : 4,761.21 = 865.66 : x
  2. Step 2: Convert to fraction form
    3,174.14/4,761.21 = 865.66/x
  3. Step 3: Cross multiply
    3,174.14x = 4,761.21 × 865.66
  4. Step 4: Simplify right side
    3,174.14x = 4,121,589.05
  5. Step 5: Solve for x
    x = 4,121,589.05/3,174.14
  6. Step 6: Final answer
    x = 1,298.49

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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.