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Finding the Fourth Proportional to 2.83, 3.88 and 2.78

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Solution

The fourth proportional to 2.83, 3.88 and 2.78 is: 3.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.83 : 3.88 = 2.78 : x
  2. Step 2: Convert to fraction form
    2.83/3.88 = 2.78/x
  3. Step 3: Cross multiply
    2.83x = 3.88 × 2.78
  4. Step 4: Simplify right side
    2.83x = 10.79
  5. Step 5: Solve for x
    x = 10.79/2.83
  6. Step 6: Final answer
    x = 3.81

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