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Finding the Fourth Proportional to 3,174.19, 4,761.32 and 865.69

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Solution

The fourth proportional to 3,174.19, 4,761.32 and 865.69 is: 1,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.19 : 4,761.32 = 865.69 : x
  2. Step 2: Convert to fraction form
    3,174.19/4,761.32 = 865.69/x
  3. Step 3: Cross multiply
    3,174.19x = 4,761.32 × 865.69
  4. Step 4: Simplify right side
    3,174.19x = 4,121,810.88
  5. Step 5: Solve for x
    x = 4,121,810.88/3,174.19
  6. Step 6: Final answer
    x = 1,298.54

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