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Finding the Fourth Proportional to 2,674.20, 4,010.96 and 825.30

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Solution

The fourth proportional to 2,674.20, 4,010.96 and 825.30 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.20 : 4,010.96 = 825.30 : x
  2. Step 2: Convert to fraction form
    2,674.20/4,010.96 = 825.30/x
  3. Step 3: Cross multiply
    2,674.20x = 4,010.96 × 825.30
  4. Step 4: Simplify right side
    2,674.20x = 3,310,245.29
  5. Step 5: Solve for x
    x = 3,310,245.29/2,674.20
  6. Step 6: Final answer
    x = 1,237.85

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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.