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Finding the Fourth Proportional to 2,008.65, 2,771.96 and 1,169.40

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Solution

The fourth proportional to 2,008.65, 2,771.96 and 1,169.40 is: 1,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.65 : 2,771.96 = 1,169.40 : x
  2. Step 2: Convert to fraction form
    2,008.65/2,771.96 = 1,169.40/x
  3. Step 3: Cross multiply
    2,008.65x = 2,771.96 × 1,169.40
  4. Step 4: Simplify right side
    2,008.65x = 3,241,524.18
  5. Step 5: Solve for x
    x = 3,241,524.18/2,008.65
  6. Step 6: Final answer
    x = 1,613.78

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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.