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Finding the Fourth Proportional to 3,183.82, 4,773.99 and 2,143.78

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Solution

The fourth proportional to 3,183.82, 4,773.99 and 2,143.78 is: 3,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.82 : 4,773.99 = 2,143.78 : x
  2. Step 2: Convert to fraction form
    3,183.82/4,773.99 = 2,143.78/x
  3. Step 3: Cross multiply
    3,183.82x = 4,773.99 × 2,143.78
  4. Step 4: Simplify right side
    3,183.82x = 10,234,384.28
  5. Step 5: Solve for x
    x = 10,234,384.28/3,183.82
  6. Step 6: Final answer
    x = 3,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.