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Finding the Fourth Proportional to 2,096.12, 3,163.88 and 2,096.12

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Solution

The fourth proportional to 2,096.12, 3,163.88 and 2,096.12 is: 3,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.12 : 3,163.88 = 2,096.12 : x
  2. Step 2: Convert to fraction form
    2,096.12/3,163.88 = 2,096.12/x
  3. Step 3: Cross multiply
    2,096.12x = 3,163.88 × 2,096.12
  4. Step 4: Simplify right side
    2,096.12x = 6,631,872.15
  5. Step 5: Solve for x
    x = 6,631,872.15/2,096.12
  6. Step 6: Final answer
    x = 3,163.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.