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Finding the Fourth Proportional to 2,601.38, 3,896.18 and 2,012.24

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Solution

The fourth proportional to 2,601.38, 3,896.18 and 2,012.24 is: 3,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.38 : 3,896.18 = 2,012.24 : x
  2. Step 2: Convert to fraction form
    2,601.38/3,896.18 = 2,012.24/x
  3. Step 3: Cross multiply
    2,601.38x = 3,896.18 × 2,012.24
  4. Step 4: Simplify right side
    2,601.38x = 7,840,049.24
  5. Step 5: Solve for x
    x = 7,840,049.24/2,601.38
  6. Step 6: Final answer
    x = 3,013.80

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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.