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Finding the Fourth Proportional to 2,400.96, 3,601.32 and 1,414.32

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Solution

The fourth proportional to 2,400.96, 3,601.32 and 1,414.32 is: 2,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.96 : 3,601.32 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    2,400.96/3,601.32 = 1,414.32/x
  3. Step 3: Cross multiply
    2,400.96x = 3,601.32 × 1,414.32
  4. Step 4: Simplify right side
    2,400.96x = 5,093,418.90
  5. Step 5: Solve for x
    x = 5,093,418.90/2,400.96
  6. Step 6: Final answer
    x = 2,121.41

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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.