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Finding the Fourth Proportional to 3,182.82, 4,771.38 and 1,234.56

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Solution

The fourth proportional to 3,182.82, 4,771.38 and 1,234.56 is: 1,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.82 : 4,771.38 = 1,234.56 : x
  2. Step 2: Convert to fraction form
    3,182.82/4,771.38 = 1,234.56/x
  3. Step 3: Cross multiply
    3,182.82x = 4,771.38 × 1,234.56
  4. Step 4: Simplify right side
    3,182.82x = 5,890,554.89
  5. Step 5: Solve for x
    x = 5,890,554.89/3,182.82
  6. Step 6: Final answer
    x = 1,850.73

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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.