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Finding the Fourth Proportional to 2.74, 4.09 and 2.29

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Solution

The fourth proportional to 2.74, 4.09 and 2.29 is: 3.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 4.09 = 2.29 : x
  2. Step 2: Convert to fraction form
    2.74/4.09 = 2.29/x
  3. Step 3: Cross multiply
    2.74x = 4.09 × 2.29
  4. Step 4: Simplify right side
    2.74x = 9.37
  5. Step 5: Solve for x
    x = 9.37/2.74
  6. Step 6: Final answer
    x = 3.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.