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Finding the Fourth Proportional to 2.46, 3.39 and 2.28

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Solution

The fourth proportional to 2.46, 3.39 and 2.28 is: 3.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.46 : 3.39 = 2.28 : x
  2. Step 2: Convert to fraction form
    2.46/3.39 = 2.28/x
  3. Step 3: Cross multiply
    2.46x = 3.39 × 2.28
  4. Step 4: Simplify right side
    2.46x = 7.70
  5. Step 5: Solve for x
    x = 7.70/2.46
  6. Step 6: Final answer
    x = 3.14

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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.