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Finding the Fourth Proportional to 2,440.35, 3,661.19 and 796.68

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Solution

The fourth proportional to 2,440.35, 3,661.19 and 796.68 is: 1,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.35 : 3,661.19 = 796.68 : x
  2. Step 2: Convert to fraction form
    2,440.35/3,661.19 = 796.68/x
  3. Step 3: Cross multiply
    2,440.35x = 3,661.19 × 796.68
  4. Step 4: Simplify right side
    2,440.35x = 2,916,792.87
  5. Step 5: Solve for x
    x = 2,916,792.87/2,440.35
  6. Step 6: Final answer
    x = 1,195.24

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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.