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Finding the Fourth Proportional to 3,174.17, 4,761.25 and 982.85

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Solution

The fourth proportional to 3,174.17, 4,761.25 and 982.85 is: 1,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.17 : 4,761.25 = 982.85 : x
  2. Step 2: Convert to fraction form
    3,174.17/4,761.25 = 982.85/x
  3. Step 3: Cross multiply
    3,174.17x = 4,761.25 × 982.85
  4. Step 4: Simplify right side
    3,174.17x = 4,679,594.56
  5. Step 5: Solve for x
    x = 4,679,594.56/3,174.17
  6. Step 6: Final answer
    x = 1,474.27

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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.