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Finding the Fourth Proportional to 2,440.46, 3,661.07 and 796.62

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Solution

The fourth proportional to 2,440.46, 3,661.07 and 796.62 is: 1,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.46 : 3,661.07 = 796.62 : x
  2. Step 2: Convert to fraction form
    2,440.46/3,661.07 = 796.62/x
  3. Step 3: Cross multiply
    2,440.46x = 3,661.07 × 796.62
  4. Step 4: Simplify right side
    2,440.46x = 2,916,477.60
  5. Step 5: Solve for x
    x = 2,916,477.60/2,440.46
  6. Step 6: Final answer
    x = 1,195.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.