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Finding the Fourth Proportional to 2,759.82, 4,133.85 and 2,209.02

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Solution

The fourth proportional to 2,759.82, 4,133.85 and 2,209.02 is: 3,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.82 : 4,133.85 = 2,209.02 : x
  2. Step 2: Convert to fraction form
    2,759.82/4,133.85 = 2,209.02/x
  3. Step 3: Cross multiply
    2,759.82x = 4,133.85 × 2,209.02
  4. Step 4: Simplify right side
    2,759.82x = 9,131,757.33
  5. Step 5: Solve for x
    x = 9,131,757.33/2,759.82
  6. Step 6: Final answer
    x = 3,308.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.