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Finding the Fourth Proportional to 3,183.45, 4,775.99 and 992.20

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Solution

The fourth proportional to 3,183.45, 4,775.99 and 992.20 is: 1,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.45 : 4,775.99 = 992.20 : x
  2. Step 2: Convert to fraction form
    3,183.45/4,775.99 = 992.20/x
  3. Step 3: Cross multiply
    3,183.45x = 4,775.99 × 992.20
  4. Step 4: Simplify right side
    3,183.45x = 4,738,737.28
  5. Step 5: Solve for x
    x = 4,738,737.28/3,183.45
  6. Step 6: Final answer
    x = 1,488.55

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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.