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Finding the Fourth Proportional to 2,550.27, 3,824.22 and 1,496.40

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Solution

The fourth proportional to 2,550.27, 3,824.22 and 1,496.40 is: 2,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.27 : 3,824.22 = 1,496.40 : x
  2. Step 2: Convert to fraction form
    2,550.27/3,824.22 = 1,496.40/x
  3. Step 3: Cross multiply
    2,550.27x = 3,824.22 × 1,496.40
  4. Step 4: Simplify right side
    2,550.27x = 5,722,562.81
  5. Step 5: Solve for x
    x = 5,722,562.81/2,550.27
  6. Step 6: Final answer
    x = 2,243.90

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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.