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Finding the Fourth Proportional to 3,183.87, 4,776.14 and 992.01

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Solution

The fourth proportional to 3,183.87, 4,776.14 and 992.01 is: 1,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.87 : 4,776.14 = 992.01 : x
  2. Step 2: Convert to fraction form
    3,183.87/4,776.14 = 992.01/x
  3. Step 3: Cross multiply
    3,183.87x = 4,776.14 × 992.01
  4. Step 4: Simplify right side
    3,183.87x = 4,737,973.68
  5. Step 5: Solve for x
    x = 4,737,973.68/3,183.87
  6. Step 6: Final answer
    x = 1,488.12

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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.