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Finding the Fourth Proportional to 2,441.94, 3,662.79 and 798.27

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Solution

The fourth proportional to 2,441.94, 3,662.79 and 798.27 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.94 : 3,662.79 = 798.27 : x
  2. Step 2: Convert to fraction form
    2,441.94/3,662.79 = 798.27/x
  3. Step 3: Cross multiply
    2,441.94x = 3,662.79 × 798.27
  4. Step 4: Simplify right side
    2,441.94x = 2,923,878.64
  5. Step 5: Solve for x
    x = 2,923,878.64/2,441.94
  6. Step 6: Final answer
    x = 1,197.36

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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.