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Finding the Fourth Proportional to 3,448, 4,758.24 and 1,976

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Solution

The fourth proportional to 3,448, 4,758.24 and 1,976 is: 2,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448 : 4,758.24 = 1,976 : x
  2. Step 2: Convert to fraction form
    3,448/4,758.24 = 1,976/x
  3. Step 3: Cross multiply
    3,448x = 4,758.24 × 1,976
  4. Step 4: Simplify right side
    3,448x = 9,402,282.24
  5. Step 5: Solve for x
    x = 9,402,282.24/3,448
  6. Step 6: Final answer
    x = 2,726.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.