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Finding the Fourth Proportional to 2.69, 4.09 and 2.67

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Solution

The fourth proportional to 2.69, 4.09 and 2.67 is: 4.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.69 : 4.09 = 2.67 : x
  2. Step 2: Convert to fraction form
    2.69/4.09 = 2.67/x
  3. Step 3: Cross multiply
    2.69x = 4.09 × 2.67
  4. Step 4: Simplify right side
    2.69x = 10.91
  5. Step 5: Solve for x
    x = 10.91/2.69
  6. Step 6: Final answer
    x = 4.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.