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Finding the Fourth Proportional to 2,448, 3,375.84 and 1,563.48

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Solution

The fourth proportional to 2,448, 3,375.84 and 1,563.48 is: 2,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448 : 3,375.84 = 1,563.48 : x
  2. Step 2: Convert to fraction form
    2,448/3,375.84 = 1,563.48/x
  3. Step 3: Cross multiply
    2,448x = 3,375.84 × 1,563.48
  4. Step 4: Simplify right side
    2,448x = 5,278,058.32
  5. Step 5: Solve for x
    x = 5,278,058.32/2,448
  6. Step 6: Final answer
    x = 2,156.07

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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.