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Finding the Fourth Proportional to 2,199.60, 3,299.34 and 660.60

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Solution

The fourth proportional to 2,199.60, 3,299.34 and 660.60 is: 990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.60 : 3,299.34 = 660.60 : x
  2. Step 2: Convert to fraction form
    2,199.60/3,299.34 = 660.60/x
  3. Step 3: Cross multiply
    2,199.60x = 3,299.34 × 660.60
  4. Step 4: Simplify right side
    2,199.60x = 2,179,544.00
  5. Step 5: Solve for x
    x = 2,179,544.00/2,199.60
  6. Step 6: Final answer
    x = 990.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.