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Finding the Fourth Proportional to 2,863.62, 3,955.23 and 2,198.88

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Solution

The fourth proportional to 2,863.62, 3,955.23 and 2,198.88 is: 3,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.62 : 3,955.23 = 2,198.88 : x
  2. Step 2: Convert to fraction form
    2,863.62/3,955.23 = 2,198.88/x
  3. Step 3: Cross multiply
    2,863.62x = 3,955.23 × 2,198.88
  4. Step 4: Simplify right side
    2,863.62x = 8,697,076.14
  5. Step 5: Solve for x
    x = 8,697,076.14/2,863.62
  6. Step 6: Final answer
    x = 3,037.09

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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.