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Finding the Fourth Proportional to 2,414.81, 3,613.41 and 2,063.68

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Solution

The fourth proportional to 2,414.81, 3,613.41 and 2,063.68 is: 3,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.81 : 3,613.41 = 2,063.68 : x
  2. Step 2: Convert to fraction form
    2,414.81/3,613.41 = 2,063.68/x
  3. Step 3: Cross multiply
    2,414.81x = 3,613.41 × 2,063.68
  4. Step 4: Simplify right side
    2,414.81x = 7,456,912.92
  5. Step 5: Solve for x
    x = 7,456,912.92/2,414.81
  6. Step 6: Final answer
    x = 3,087.99

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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.