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Finding the Fourth Proportional to 2,449.36, 3,658.91 and 1,963.36

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Solution

The fourth proportional to 2,449.36, 3,658.91 and 1,963.36 is: 2,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.36 : 3,658.91 = 1,963.36 : x
  2. Step 2: Convert to fraction form
    2,449.36/3,658.91 = 1,963.36/x
  3. Step 3: Cross multiply
    2,449.36x = 3,658.91 × 1,963.36
  4. Step 4: Simplify right side
    2,449.36x = 7,183,757.54
  5. Step 5: Solve for x
    x = 7,183,757.54/2,449.36
  6. Step 6: Final answer
    x = 2,932.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.