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Finding the Fourth Proportional to 3,231.60, 4,846.19 and 1,382.90

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Solution

The fourth proportional to 3,231.60, 4,846.19 and 1,382.90 is: 2,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.60 : 4,846.19 = 1,382.90 : x
  2. Step 2: Convert to fraction form
    3,231.60/4,846.19 = 1,382.90/x
  3. Step 3: Cross multiply
    3,231.60x = 4,846.19 × 1,382.90
  4. Step 4: Simplify right side
    3,231.60x = 6,701,765.01
  5. Step 5: Solve for x
    x = 6,701,765.01/3,231.60
  6. Step 6: Final answer
    x = 2,073.82

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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.