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Finding the Fourth Proportional to 2,200.82, 3,300.61 and 884.57

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Solution

The fourth proportional to 2,200.82, 3,300.61 and 884.57 is: 1,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.82 : 3,300.61 = 884.57 : x
  2. Step 2: Convert to fraction form
    2,200.82/3,300.61 = 884.57/x
  3. Step 3: Cross multiply
    2,200.82x = 3,300.61 × 884.57
  4. Step 4: Simplify right side
    2,200.82x = 2,919,620.59
  5. Step 5: Solve for x
    x = 2,919,620.59/2,200.82
  6. Step 6: Final answer
    x = 1,326.61

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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.