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Finding the Fourth Proportional to 3,199.69, 4,414.93 and 2,020.13

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Solution

The fourth proportional to 3,199.69, 4,414.93 and 2,020.13 is: 2,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.69 : 4,414.93 = 2,020.13 : x
  2. Step 2: Convert to fraction form
    3,199.69/4,414.93 = 2,020.13/x
  3. Step 3: Cross multiply
    3,199.69x = 4,414.93 × 2,020.13
  4. Step 4: Simplify right side
    3,199.69x = 8,918,732.54
  5. Step 5: Solve for x
    x = 8,918,732.54/3,199.69
  6. Step 6: Final answer
    x = 2,787.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.