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Finding the Fourth Proportional to 2,199.09, 3,299.19 and 1,813.53

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Solution

The fourth proportional to 2,199.09, 3,299.19 and 1,813.53 is: 2,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.09 : 3,299.19 = 1,813.53 : x
  2. Step 2: Convert to fraction form
    2,199.09/3,299.19 = 1,813.53/x
  3. Step 3: Cross multiply
    2,199.09x = 3,299.19 × 1,813.53
  4. Step 4: Simplify right side
    2,199.09x = 5,983,180.04
  5. Step 5: Solve for x
    x = 5,983,180.04/2,199.09
  6. Step 6: Final answer
    x = 2,720.75

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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.