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Finding the Fourth Proportional to 3,305.92, 4,560.48 and 2,200

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Solution

The fourth proportional to 3,305.92, 4,560.48 and 2,200 is: 3,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.92 : 4,560.48 = 2,200 : x
  2. Step 2: Convert to fraction form
    3,305.92/4,560.48 = 2,200/x
  3. Step 3: Cross multiply
    3,305.92x = 4,560.48 × 2,200
  4. Step 4: Simplify right side
    3,305.92x = 10,033,056.00
  5. Step 5: Solve for x
    x = 10,033,056.00/3,305.92
  6. Step 6: Final answer
    x = 3,034.88

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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.