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Finding the Fourth Proportional to 2,199.70, 3,299.92 and 813.04

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Solution

The fourth proportional to 2,199.70, 3,299.92 and 813.04 is: 1,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.70 : 3,299.92 = 813.04 : x
  2. Step 2: Convert to fraction form
    2,199.70/3,299.92 = 813.04/x
  3. Step 3: Cross multiply
    2,199.70x = 3,299.92 × 813.04
  4. Step 4: Simplify right side
    2,199.70x = 2,682,975.17
  5. Step 5: Solve for x
    x = 2,682,975.17/2,199.70
  6. Step 6: Final answer
    x = 1,219.70

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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.