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Finding the Fourth Proportional to 3,174.50, 4,380.81 and 1,932.50

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Solution

The fourth proportional to 3,174.50, 4,380.81 and 1,932.50 is: 2,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.50 : 4,380.81 = 1,932.50 : x
  2. Step 2: Convert to fraction form
    3,174.50/4,380.81 = 1,932.50/x
  3. Step 3: Cross multiply
    3,174.50x = 4,380.81 × 1,932.50
  4. Step 4: Simplify right side
    3,174.50x = 8,465,915.33
  5. Step 5: Solve for x
    x = 8,465,915.33/3,174.50
  6. Step 6: Final answer
    x = 2,666.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.