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Finding the Fourth Proportional to 2.97, 4.09 and 2.84

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Solution

The fourth proportional to 2.97, 4.09 and 2.84 is: 3.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.97 : 4.09 = 2.84 : x
  2. Step 2: Convert to fraction form
    2.97/4.09 = 2.84/x
  3. Step 3: Cross multiply
    2.97x = 4.09 × 2.84
  4. Step 4: Simplify right side
    2.97x = 11.62
  5. Step 5: Solve for x
    x = 11.62/2.97
  6. Step 6: Final answer
    x = 3.91

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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.