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Finding the Fourth Proportional to 3,195.81, 4,412.34 and 2,002.59

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Solution

The fourth proportional to 3,195.81, 4,412.34 and 2,002.59 is: 2,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.81 : 4,412.34 = 2,002.59 : x
  2. Step 2: Convert to fraction form
    3,195.81/4,412.34 = 2,002.59/x
  3. Step 3: Cross multiply
    3,195.81x = 4,412.34 × 2,002.59
  4. Step 4: Simplify right side
    3,195.81x = 8,836,107.96
  5. Step 5: Solve for x
    x = 8,836,107.96/3,195.81
  6. Step 6: Final answer
    x = 2,764.90

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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.