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Finding the Fourth Proportional to 2,081.97, 2,871.29 and 1,609.89

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Solution

The fourth proportional to 2,081.97, 2,871.29 and 1,609.89 is: 2,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.97 : 2,871.29 = 1,609.89 : x
  2. Step 2: Convert to fraction form
    2,081.97/2,871.29 = 1,609.89/x
  3. Step 3: Cross multiply
    2,081.97x = 2,871.29 × 1,609.89
  4. Step 4: Simplify right side
    2,081.97x = 4,622,453.01
  5. Step 5: Solve for x
    x = 4,622,453.01/2,081.97
  6. Step 6: Final answer
    x = 2,220.23

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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.