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Finding the Fourth Proportional to 2,843.46, 3,924.17 and 1,724.44

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Solution

The fourth proportional to 2,843.46, 3,924.17 and 1,724.44 is: 2,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.46 : 3,924.17 = 1,724.44 : x
  2. Step 2: Convert to fraction form
    2,843.46/3,924.17 = 1,724.44/x
  3. Step 3: Cross multiply
    2,843.46x = 3,924.17 × 1,724.44
  4. Step 4: Simplify right side
    2,843.46x = 6,766,995.71
  5. Step 5: Solve for x
    x = 6,766,995.71/2,843.46
  6. Step 6: Final answer
    x = 2,379.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.