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Finding the Fourth Proportional to 2,663.36, 3,993.72 and 814.12

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Solution

The fourth proportional to 2,663.36, 3,993.72 and 814.12 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.36 : 3,993.72 = 814.12 : x
  2. Step 2: Convert to fraction form
    2,663.36/3,993.72 = 814.12/x
  3. Step 3: Cross multiply
    2,663.36x = 3,993.72 × 814.12
  4. Step 4: Simplify right side
    2,663.36x = 3,251,367.33
  5. Step 5: Solve for x
    x = 3,251,367.33/2,663.36
  6. Step 6: Final answer
    x = 1,220.78

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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.