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Finding the Fourth Proportional to 2,008.29, 2,771.61 and 1,169.25

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Solution

The fourth proportional to 2,008.29, 2,771.61 and 1,169.25 is: 1,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.29 : 2,771.61 = 1,169.25 : x
  2. Step 2: Convert to fraction form
    2,008.29/2,771.61 = 1,169.25/x
  3. Step 3: Cross multiply
    2,008.29x = 2,771.61 × 1,169.25
  4. Step 4: Simplify right side
    2,008.29x = 3,240,704.99
  5. Step 5: Solve for x
    x = 3,240,704.99/2,008.29
  6. Step 6: Final answer
    x = 1,613.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.