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Finding the Fourth Proportional to 2,759.36, 3,805.67 and 2,228.09

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Solution

The fourth proportional to 2,759.36, 3,805.67 and 2,228.09 is: 3,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.36 : 3,805.67 = 2,228.09 : x
  2. Step 2: Convert to fraction form
    2,759.36/3,805.67 = 2,228.09/x
  3. Step 3: Cross multiply
    2,759.36x = 3,805.67 × 2,228.09
  4. Step 4: Simplify right side
    2,759.36x = 8,479,364.13
  5. Step 5: Solve for x
    x = 8,479,364.13/2,759.36
  6. Step 6: Final answer
    x = 3,072.95

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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.