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Finding the Fourth Proportional to 2,674.45, 4,012.11 and 825.13

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Solution

The fourth proportional to 2,674.45, 4,012.11 and 825.13 is: 1,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.45 : 4,012.11 = 825.13 : x
  2. Step 2: Convert to fraction form
    2,674.45/4,012.11 = 825.13/x
  3. Step 3: Cross multiply
    2,674.45x = 4,012.11 × 825.13
  4. Step 4: Simplify right side
    2,674.45x = 3,310,508.20
  5. Step 5: Solve for x
    x = 3,310,508.20/2,674.45
  6. Step 6: Final answer
    x = 1,237.83

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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.