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Finding the Fourth Proportional to 2,440.65, 3,661.27 and 796.75

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Solution

The fourth proportional to 2,440.65, 3,661.27 and 796.75 is: 1,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.65 : 3,661.27 = 796.75 : x
  2. Step 2: Convert to fraction form
    2,440.65/3,661.27 = 796.75/x
  3. Step 3: Cross multiply
    2,440.65x = 3,661.27 × 796.75
  4. Step 4: Simplify right side
    2,440.65x = 2,917,116.87
  5. Step 5: Solve for x
    x = 2,917,116.87/2,440.65
  6. Step 6: Final answer
    x = 1,195.22

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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.