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Finding the Fourth Proportional to 2,448, 3,378.24 and 1,400.04

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Solution

The fourth proportional to 2,448, 3,378.24 and 1,400.04 is: 1,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448 : 3,378.24 = 1,400.04 : x
  2. Step 2: Convert to fraction form
    2,448/3,378.24 = 1,400.04/x
  3. Step 3: Cross multiply
    2,448x = 3,378.24 × 1,400.04
  4. Step 4: Simplify right side
    2,448x = 4,729,671.13
  5. Step 5: Solve for x
    x = 4,729,671.13/2,448
  6. Step 6: Final answer
    x = 1,932.06

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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.