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Finding the Fourth Proportional to 3,174.04, 4,761.10 and 865.56

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Solution

The fourth proportional to 3,174.04, 4,761.10 and 865.56 is: 1,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.04 : 4,761.10 = 865.56 : x
  2. Step 2: Convert to fraction form
    3,174.04/4,761.10 = 865.56/x
  3. Step 3: Cross multiply
    3,174.04x = 4,761.10 × 865.56
  4. Step 4: Simplify right side
    3,174.04x = 4,121,017.72
  5. Step 5: Solve for x
    x = 4,121,017.72/3,174.04
  6. Step 6: Final answer
    x = 1,298.35

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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.