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Finding the Fourth Proportional to 2,725.25, 3,763.06 and 2,221.18

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Solution

The fourth proportional to 2,725.25, 3,763.06 and 2,221.18 is: 3,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.25 : 3,763.06 = 2,221.18 : x
  2. Step 2: Convert to fraction form
    2,725.25/3,763.06 = 2,221.18/x
  3. Step 3: Cross multiply
    2,725.25x = 3,763.06 × 2,221.18
  4. Step 4: Simplify right side
    2,725.25x = 8,358,418.65
  5. Step 5: Solve for x
    x = 8,358,418.65/2,725.25
  6. Step 6: Final answer
    x = 3,067.03

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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.