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Finding the Fourth Proportional to 2.54, 3.82 and 2.32

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Solution

The fourth proportional to 2.54, 3.82 and 2.32 is: 3.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.54 : 3.82 = 2.32 : x
  2. Step 2: Convert to fraction form
    2.54/3.82 = 2.32/x
  3. Step 3: Cross multiply
    2.54x = 3.82 × 2.32
  4. Step 4: Simplify right side
    2.54x = 8.86
  5. Step 5: Solve for x
    x = 8.86/2.54
  6. Step 6: Final answer
    x = 3.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.