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Finding the Fourth Proportional to 2,663.14, 3,992.22 and 1,275.78

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Solution

The fourth proportional to 2,663.14, 3,992.22 and 1,275.78 is: 1,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.14 : 3,992.22 = 1,275.78 : x
  2. Step 2: Convert to fraction form
    2,663.14/3,992.22 = 1,275.78/x
  3. Step 3: Cross multiply
    2,663.14x = 3,992.22 × 1,275.78
  4. Step 4: Simplify right side
    2,663.14x = 5,093,194.43
  5. Step 5: Solve for x
    x = 5,093,194.43/2,663.14
  6. Step 6: Final answer
    x = 1,912.48

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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.