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Finding the Fourth Proportional to 3,233.81, 4,847.00 and 1,382.15

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Solution

The fourth proportional to 3,233.81, 4,847.00 and 1,382.15 is: 2,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.81 : 4,847.00 = 1,382.15 : x
  2. Step 2: Convert to fraction form
    3,233.81/4,847.00 = 1,382.15/x
  3. Step 3: Cross multiply
    3,233.81x = 4,847.00 × 1,382.15
  4. Step 4: Simplify right side
    3,233.81x = 6,699,249.90
  5. Step 5: Solve for x
    x = 6,699,249.90/3,233.81
  6. Step 6: Final answer
    x = 2,071.63

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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.