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Finding the Fourth Proportional to 2,007.97, 2,771.07 and 1,169.21

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Solution

The fourth proportional to 2,007.97, 2,771.07 and 1,169.21 is: 1,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.97 : 2,771.07 = 1,169.21 : x
  2. Step 2: Convert to fraction form
    2,007.97/2,771.07 = 1,169.21/x
  3. Step 3: Cross multiply
    2,007.97x = 2,771.07 × 1,169.21
  4. Step 4: Simplify right side
    2,007.97x = 3,239,962.75
  5. Step 5: Solve for x
    x = 3,239,962.75/2,007.97
  6. Step 6: Final answer
    x = 1,613.55

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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.