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Finding the Fourth Proportional to 2,166.43, 3,249.85 and 606.44

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Solution

The fourth proportional to 2,166.43, 3,249.85 and 606.44 is: 909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.43 : 3,249.85 = 606.44 : x
  2. Step 2: Convert to fraction form
    2,166.43/3,249.85 = 606.44/x
  3. Step 3: Cross multiply
    2,166.43x = 3,249.85 × 606.44
  4. Step 4: Simplify right side
    2,166.43x = 1,970,821.27
  5. Step 5: Solve for x
    x = 1,970,821.27/2,166.43
  6. Step 6: Final answer
    x = 909.71

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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.