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Finding the Fourth Proportional to 2.98, 4.11 and 1.77

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Solution

The fourth proportional to 2.98, 4.11 and 1.77 is: 2.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.98 : 4.11 = 1.77 : x
  2. Step 2: Convert to fraction form
    2.98/4.11 = 1.77/x
  3. Step 3: Cross multiply
    2.98x = 4.11 × 1.77
  4. Step 4: Simplify right side
    2.98x = 7.27
  5. Step 5: Solve for x
    x = 7.27/2.98
  6. Step 6: Final answer
    x = 2.44

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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.