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Finding the Fourth Proportional to 2,723.25, 4,084.89 and 992.28

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Solution

The fourth proportional to 2,723.25, 4,084.89 and 992.28 is: 1,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.25 : 4,084.89 = 992.28 : x
  2. Step 2: Convert to fraction form
    2,723.25/4,084.89 = 992.28/x
  3. Step 3: Cross multiply
    2,723.25x = 4,084.89 × 992.28
  4. Step 4: Simplify right side
    2,723.25x = 4,053,354.65
  5. Step 5: Solve for x
    x = 4,053,354.65/2,723.25
  6. Step 6: Final answer
    x = 1,488.43

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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.