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Finding the Fourth Proportional to 4.94, 7.41 and 2.27

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Solution

The fourth proportional to 4.94, 7.41 and 2.27 is: 3.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.94 : 7.41 = 2.27 : x
  2. Step 2: Convert to fraction form
    4.94/7.41 = 2.27/x
  3. Step 3: Cross multiply
    4.94x = 7.41 × 2.27
  4. Step 4: Simplify right side
    4.94x = 16.78
  5. Step 5: Solve for x
    x = 16.78/4.94
  6. Step 6: Final answer
    x = 3.40

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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.