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Finding the Fourth Proportional to 3,280.38, 4,919.26 and 1,199.91

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Solution

The fourth proportional to 3,280.38, 4,919.26 and 1,199.91 is: 1,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.38 : 4,919.26 = 1,199.91 : x
  2. Step 2: Convert to fraction form
    3,280.38/4,919.26 = 1,199.91/x
  3. Step 3: Cross multiply
    3,280.38x = 4,919.26 × 1,199.91
  4. Step 4: Simplify right side
    3,280.38x = 5,902,669.27
  5. Step 5: Solve for x
    x = 5,902,669.27/3,280.38
  6. Step 6: Final answer
    x = 1,799.39

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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.