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Finding the Fourth Proportional to 2,536.67, 3,791.63 and 2,204.97

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Solution

The fourth proportional to 2,536.67, 3,791.63 and 2,204.97 is: 3,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.67 : 3,791.63 = 2,204.97 : x
  2. Step 2: Convert to fraction form
    2,536.67/3,791.63 = 2,204.97/x
  3. Step 3: Cross multiply
    2,536.67x = 3,791.63 × 2,204.97
  4. Step 4: Simplify right side
    2,536.67x = 8,360,419.38
  5. Step 5: Solve for x
    x = 8,360,419.38/2,536.67
  6. Step 6: Final answer
    x = 3,295.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.