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Finding the Fourth Proportional to 2.62, 3.92 and 1.62

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Solution

The fourth proportional to 2.62, 3.92 and 1.62 is: 2.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.62 : 3.92 = 1.62 : x
  2. Step 2: Convert to fraction form
    2.62/3.92 = 1.62/x
  3. Step 3: Cross multiply
    2.62x = 3.92 × 1.62
  4. Step 4: Simplify right side
    2.62x = 6.33
  5. Step 5: Solve for x
    x = 6.33/2.62
  6. Step 6: Final answer
    x = 2.42

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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.