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Finding the Fourth Proportional to 2,380.98, 3,571.46 and 1,082.54

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Solution

The fourth proportional to 2,380.98, 3,571.46 and 1,082.54 is: 1,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.98 : 3,571.46 = 1,082.54 : x
  2. Step 2: Convert to fraction form
    2,380.98/3,571.46 = 1,082.54/x
  3. Step 3: Cross multiply
    2,380.98x = 3,571.46 × 1,082.54
  4. Step 4: Simplify right side
    2,380.98x = 3,866,248.31
  5. Step 5: Solve for x
    x = 3,866,248.31/2,380.98
  6. Step 6: Final answer
    x = 1,623.81

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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.