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Finding the Fourth Proportional to 2,747.91, 4,114.08 and 2,488.44

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Solution

The fourth proportional to 2,747.91, 4,114.08 and 2,488.44 is: 3,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.91 : 4,114.08 = 2,488.44 : x
  2. Step 2: Convert to fraction form
    2,747.91/4,114.08 = 2,488.44/x
  3. Step 3: Cross multiply
    2,747.91x = 4,114.08 × 2,488.44
  4. Step 4: Simplify right side
    2,747.91x = 10,237,641.24
  5. Step 5: Solve for x
    x = 10,237,641.24/2,747.91
  6. Step 6: Final answer
    x = 3,725.61

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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.