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Finding the Fourth Proportional to 2.05, 2.82 and 1.91

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Solution

The fourth proportional to 2.05, 2.82 and 1.91 is: 2.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.05 : 2.82 = 1.91 : x
  2. Step 2: Convert to fraction form
    2.05/2.82 = 1.91/x
  3. Step 3: Cross multiply
    2.05x = 2.82 × 1.91
  4. Step 4: Simplify right side
    2.05x = 5.39
  5. Step 5: Solve for x
    x = 5.39/2.05
  6. Step 6: Final answer
    x = 2.63

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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.