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Finding the Fourth Proportional to 2.90, 3.98 and 2.69

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Solution

The fourth proportional to 2.90, 3.98 and 2.69 is: 3.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.90 : 3.98 = 2.69 : x
  2. Step 2: Convert to fraction form
    2.90/3.98 = 2.69/x
  3. Step 3: Cross multiply
    2.90x = 3.98 × 2.69
  4. Step 4: Simplify right side
    2.90x = 10.67
  5. Step 5: Solve for x
    x = 10.67/2.90
  6. Step 6: Final answer
    x = 3.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.