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Finding the Fourth Proportional to 2,440.44, 3,660.49 and 796.95

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Solution

The fourth proportional to 2,440.44, 3,660.49 and 796.95 is: 1,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.44 : 3,660.49 = 796.95 : x
  2. Step 2: Convert to fraction form
    2,440.44/3,660.49 = 796.95/x
  3. Step 3: Cross multiply
    2,440.44x = 3,660.49 × 796.95
  4. Step 4: Simplify right side
    2,440.44x = 2,917,227.51
  5. Step 5: Solve for x
    x = 2,917,227.51/2,440.44
  6. Step 6: Final answer
    x = 1,195.37

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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.