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Finding the Fourth Proportional to 2.05, 2.84 and 1.97

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Solution

The fourth proportional to 2.05, 2.84 and 1.97 is: 2.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.05 : 2.84 = 1.97 : x
  2. Step 2: Convert to fraction form
    2.05/2.84 = 1.97/x
  3. Step 3: Cross multiply
    2.05x = 2.84 × 1.97
  4. Step 4: Simplify right side
    2.05x = 5.59
  5. Step 5: Solve for x
    x = 5.59/2.05
  6. Step 6: Final answer
    x = 2.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.