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Finding the Fourth Proportional to 2,863.44, 3,952.20 and 2,396.88

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Solution

The fourth proportional to 2,863.44, 3,952.20 and 2,396.88 is: 3,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.44 : 3,952.20 = 2,396.88 : x
  2. Step 2: Convert to fraction form
    2,863.44/3,952.20 = 2,396.88/x
  3. Step 3: Cross multiply
    2,863.44x = 3,952.20 × 2,396.88
  4. Step 4: Simplify right side
    2,863.44x = 9,472,949.14
  5. Step 5: Solve for x
    x = 9,472,949.14/2,863.44
  6. Step 6: Final answer
    x = 3,308.24

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1.5x scale

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.