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Finding the Fourth Proportional to 2,236.97, 3,353.47 and 849.38

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Solution

The fourth proportional to 2,236.97, 3,353.47 and 849.38 is: 1,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.97 : 3,353.47 = 849.38 : x
  2. Step 2: Convert to fraction form
    2,236.97/3,353.47 = 849.38/x
  3. Step 3: Cross multiply
    2,236.97x = 3,353.47 × 849.38
  4. Step 4: Simplify right side
    2,236.97x = 2,848,351.46
  5. Step 5: Solve for x
    x = 2,848,351.46/2,236.97
  6. Step 6: Final answer
    x = 1,273.31

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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.