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Finding the Fourth Proportional to 3,183.91, 4,772.21 and 1,234.44

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Solution

The fourth proportional to 3,183.91, 4,772.21 and 1,234.44 is: 1,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.91 : 4,772.21 = 1,234.44 : x
  2. Step 2: Convert to fraction form
    3,183.91/4,772.21 = 1,234.44/x
  3. Step 3: Cross multiply
    3,183.91x = 4,772.21 × 1,234.44
  4. Step 4: Simplify right side
    3,183.91x = 5,891,006.91
  5. Step 5: Solve for x
    x = 5,891,006.91/3,183.91
  6. Step 6: Final answer
    x = 1,850.24

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1.5x scale

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.