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Finding the Fourth Proportional to 2,747.99, 4,121.15 and 992.78

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Solution

The fourth proportional to 2,747.99, 4,121.15 and 992.78 is: 1,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.99 : 4,121.15 = 992.78 : x
  2. Step 2: Convert to fraction form
    2,747.99/4,121.15 = 992.78/x
  3. Step 3: Cross multiply
    2,747.99x = 4,121.15 × 992.78
  4. Step 4: Simplify right side
    2,747.99x = 4,091,369.73
  5. Step 5: Solve for x
    x = 4,091,369.73/2,747.99
  6. Step 6: Final answer
    x = 1,488.86

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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.