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Finding the Fourth Proportional to 2.78, 3.82 and 2.26

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Solution

The fourth proportional to 2.78, 3.82 and 2.26 is: 3.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.78 : 3.82 = 2.26 : x
  2. Step 2: Convert to fraction form
    2.78/3.82 = 2.26/x
  3. Step 3: Cross multiply
    2.78x = 3.82 × 2.26
  4. Step 4: Simplify right side
    2.78x = 8.63
  5. Step 5: Solve for x
    x = 8.63/2.78
  6. Step 6: Final answer
    x = 3.11

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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.