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Finding the Fourth Proportional to 3,182.44, 4,773.97 and 1,181.67

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Solution

The fourth proportional to 3,182.44, 4,773.97 and 1,181.67 is: 1,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.44 : 4,773.97 = 1,181.67 : x
  2. Step 2: Convert to fraction form
    3,182.44/4,773.97 = 1,181.67/x
  3. Step 3: Cross multiply
    3,182.44x = 4,773.97 × 1,181.67
  4. Step 4: Simplify right side
    3,182.44x = 5,641,257.13
  5. Step 5: Solve for x
    x = 5,641,257.13/3,182.44
  6. Step 6: Final answer
    x = 1,772.62

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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.