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Finding the Fourth Proportional to 3,174.57, 4,761.87 and 983.31

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Solution

The fourth proportional to 3,174.57, 4,761.87 and 983.31 is: 1,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.57 : 4,761.87 = 983.31 : x
  2. Step 2: Convert to fraction form
    3,174.57/4,761.87 = 983.31/x
  3. Step 3: Cross multiply
    3,174.57x = 4,761.87 × 983.31
  4. Step 4: Simplify right side
    3,174.57x = 4,682,394.39
  5. Step 5: Solve for x
    x = 4,682,394.39/3,174.57
  6. Step 6: Final answer
    x = 1,474.97

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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.