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Finding the Fourth Proportional to 3,230.64, 4,847.34 and 1,382.16

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Solution

The fourth proportional to 3,230.64, 4,847.34 and 1,382.16 is: 2,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.64 : 4,847.34 = 1,382.16 : x
  2. Step 2: Convert to fraction form
    3,230.64/4,847.34 = 1,382.16/x
  3. Step 3: Cross multiply
    3,230.64x = 4,847.34 × 1,382.16
  4. Step 4: Simplify right side
    3,230.64x = 6,699,799.45
  5. Step 5: Solve for x
    x = 6,699,799.45/3,230.64
  6. Step 6: Final answer
    x = 2,073.83

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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.