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Finding the Fourth Proportional to 3,243.82, 4,865.73 and 2,096.86

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Solution

The fourth proportional to 3,243.82, 4,865.73 and 2,096.86 is: 3,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.82 : 4,865.73 = 2,096.86 : x
  2. Step 2: Convert to fraction form
    3,243.82/4,865.73 = 2,096.86/x
  3. Step 3: Cross multiply
    3,243.82x = 4,865.73 × 2,096.86
  4. Step 4: Simplify right side
    3,243.82x = 10,202,754.61
  5. Step 5: Solve for x
    x = 10,202,754.61/3,243.82
  6. Step 6: Final answer
    x = 3,145.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.