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Finding the Fourth Proportional to 2,199.82, 3,299.74 and 660.82

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Solution

The fourth proportional to 2,199.82, 3,299.74 and 660.82 is: 991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.82 : 3,299.74 = 660.82 : x
  2. Step 2: Convert to fraction form
    2,199.82/3,299.74 = 660.82/x
  3. Step 3: Cross multiply
    2,199.82x = 3,299.74 × 660.82
  4. Step 4: Simplify right side
    2,199.82x = 2,180,534.19
  5. Step 5: Solve for x
    x = 2,180,534.19/2,199.82
  6. Step 6: Final answer
    x = 991.23

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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.