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Finding the Fourth Proportional to 2,169.49, 3,249.88 and 997.86

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Solution

The fourth proportional to 2,169.49, 3,249.88 and 997.86 is: 1,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.49 : 3,249.88 = 997.86 : x
  2. Step 2: Convert to fraction form
    2,169.49/3,249.88 = 997.86/x
  3. Step 3: Cross multiply
    2,169.49x = 3,249.88 × 997.86
  4. Step 4: Simplify right side
    2,169.49x = 3,242,932.83
  5. Step 5: Solve for x
    x = 3,242,932.83/2,169.49
  6. Step 6: Final answer
    x = 1,494.79

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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.