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Finding the Fourth Proportional to 2.52, 3.79 and 1.19

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Solution

The fourth proportional to 2.52, 3.79 and 1.19 is: 1.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.52 : 3.79 = 1.19 : x
  2. Step 2: Convert to fraction form
    2.52/3.79 = 1.19/x
  3. Step 3: Cross multiply
    2.52x = 3.79 × 1.19
  4. Step 4: Simplify right side
    2.52x = 4.50
  5. Step 5: Solve for x
    x = 4.50/2.52
  6. Step 6: Final answer
    x = 1.78

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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.