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Finding the Fourth Proportional to 2,236.46, 3,353.46 and 1,197.68

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Solution

The fourth proportional to 2,236.46, 3,353.46 and 1,197.68 is: 1,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.46 : 3,353.46 = 1,197.68 : x
  2. Step 2: Convert to fraction form
    2,236.46/3,353.46 = 1,197.68/x
  3. Step 3: Cross multiply
    2,236.46x = 3,353.46 × 1,197.68
  4. Step 4: Simplify right side
    2,236.46x = 4,016,371.97
  5. Step 5: Solve for x
    x = 4,016,371.97/2,236.46
  6. Step 6: Final answer
    x = 1,795.86

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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.