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Finding the Fourth Proportional to 2,200.88, 3,293.88 and 2,141.65

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Solution

The fourth proportional to 2,200.88, 3,293.88 and 2,141.65 is: 3,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.88 : 3,293.88 = 2,141.65 : x
  2. Step 2: Convert to fraction form
    2,200.88/3,293.88 = 2,141.65/x
  3. Step 3: Cross multiply
    2,200.88x = 3,293.88 × 2,141.65
  4. Step 4: Simplify right side
    2,200.88x = 7,054,321.84
  5. Step 5: Solve for x
    x = 7,054,321.84/2,200.88
  6. Step 6: Final answer
    x = 3,205.23

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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.