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Finding the Fourth Proportional to 2,660.46, 3,990.66 and 1,198.58

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Solution

The fourth proportional to 2,660.46, 3,990.66 and 1,198.58 is: 1,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.46 : 3,990.66 = 1,198.58 : x
  2. Step 2: Convert to fraction form
    2,660.46/3,990.66 = 1,198.58/x
  3. Step 3: Cross multiply
    2,660.46x = 3,990.66 × 1,198.58
  4. Step 4: Simplify right side
    2,660.46x = 4,783,105.31
  5. Step 5: Solve for x
    x = 4,783,105.31/2,660.46
  6. Step 6: Final answer
    x = 1,797.85

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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.