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Finding the Fourth Proportional to 2,199.48, 3,299.76 and 1,101.12

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Solution

The fourth proportional to 2,199.48, 3,299.76 and 1,101.12 is: 1,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.48 : 3,299.76 = 1,101.12 : x
  2. Step 2: Convert to fraction form
    2,199.48/3,299.76 = 1,101.12/x
  3. Step 3: Cross multiply
    2,199.48x = 3,299.76 × 1,101.12
  4. Step 4: Simplify right side
    2,199.48x = 3,633,431.73
  5. Step 5: Solve for x
    x = 3,633,431.73/2,199.48
  6. Step 6: Final answer
    x = 1,651.95

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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.