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Finding the Fourth Proportional to 3,397.91, 4,689.05 and 1,982.42

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Solution

The fourth proportional to 3,397.91, 4,689.05 and 1,982.42 is: 2,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.91 : 4,689.05 = 1,982.42 : x
  2. Step 2: Convert to fraction form
    3,397.91/4,689.05 = 1,982.42/x
  3. Step 3: Cross multiply
    3,397.91x = 4,689.05 × 1,982.42
  4. Step 4: Simplify right side
    3,397.91x = 9,295,648.01
  5. Step 5: Solve for x
    x = 9,295,648.01/3,397.91
  6. Step 6: Final answer
    x = 2,735.70

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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.