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Finding the Fourth Proportional to 3,105.91, 4,287 and 1,847.44

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Solution

The fourth proportional to 3,105.91, 4,287 and 1,847.44 is: 2,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.91 : 4,287 = 1,847.44 : x
  2. Step 2: Convert to fraction form
    3,105.91/4,287 = 1,847.44/x
  3. Step 3: Cross multiply
    3,105.91x = 4,287 × 1,847.44
  4. Step 4: Simplify right side
    3,105.91x = 7,919,975.28
  5. Step 5: Solve for x
    x = 7,919,975.28/3,105.91
  6. Step 6: Final answer
    x = 2,549.97

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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.