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Finding the Fourth Proportional to 3.40, 5.12 and 2.84

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Solution

The fourth proportional to 3.40, 5.12 and 2.84 is: 4.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.40 : 5.12 = 2.84 : x
  2. Step 2: Convert to fraction form
    3.40/5.12 = 2.84/x
  3. Step 3: Cross multiply
    3.40x = 5.12 × 2.84
  4. Step 4: Simplify right side
    3.40x = 14.54
  5. Step 5: Solve for x
    x = 14.54/3.40
  6. Step 6: Final answer
    x = 4.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.