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Finding the Fourth Proportional to 2,396.38, 3,593.35 and 1,096.73

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Solution

The fourth proportional to 2,396.38, 3,593.35 and 1,096.73 is: 1,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.38 : 3,593.35 = 1,096.73 : x
  2. Step 2: Convert to fraction form
    2,396.38/3,593.35 = 1,096.73/x
  3. Step 3: Cross multiply
    2,396.38x = 3,593.35 × 1,096.73
  4. Step 4: Simplify right side
    2,396.38x = 3,940,951.84
  5. Step 5: Solve for x
    x = 3,940,951.84/2,396.38
  6. Step 6: Final answer
    x = 1,644.54

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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.