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Finding the Fourth Proportional to 2,266.98, 3,401.97 and 1,401.90

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Solution

The fourth proportional to 2,266.98, 3,401.97 and 1,401.90 is: 2,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.98 : 3,401.97 = 1,401.90 : x
  2. Step 2: Convert to fraction form
    2,266.98/3,401.97 = 1,401.90/x
  3. Step 3: Cross multiply
    2,266.98x = 3,401.97 × 1,401.90
  4. Step 4: Simplify right side
    2,266.98x = 4,769,221.74
  5. Step 5: Solve for x
    x = 4,769,221.74/2,266.98
  6. Step 6: Final answer
    x = 2,103.78

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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.