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Finding the Fourth Proportional to 2,791.46, 3,836.16 and 2,663.08

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Solution

The fourth proportional to 2,791.46, 3,836.16 and 2,663.08 is: 3,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.46 : 3,836.16 = 2,663.08 : x
  2. Step 2: Convert to fraction form
    2,791.46/3,836.16 = 2,663.08/x
  3. Step 3: Cross multiply
    2,791.46x = 3,836.16 × 2,663.08
  4. Step 4: Simplify right side
    2,791.46x = 10,215,991.38
  5. Step 5: Solve for x
    x = 10,215,991.38/2,791.46
  6. Step 6: Final answer
    x = 3,659.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.