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Finding the Fourth Proportional to 2.82, 4.24 and 2.11

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Solution

The fourth proportional to 2.82, 4.24 and 2.11 is: 3.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.82 : 4.24 = 2.11 : x
  2. Step 2: Convert to fraction form
    2.82/4.24 = 2.11/x
  3. Step 3: Cross multiply
    2.82x = 4.24 × 2.11
  4. Step 4: Simplify right side
    2.82x = 8.93
  5. Step 5: Solve for x
    x = 8.93/2.82
  6. Step 6: Final answer
    x = 3.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.