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Finding the Fourth Proportional to 2,401, 3,306.36 and 2,299.84

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Solution

The fourth proportional to 2,401, 3,306.36 and 2,299.84 is: 3,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401 : 3,306.36 = 2,299.84 : x
  2. Step 2: Convert to fraction form
    2,401/3,306.36 = 2,299.84/x
  3. Step 3: Cross multiply
    2,401x = 3,306.36 × 2,299.84
  4. Step 4: Simplify right side
    2,401x = 7,604,098.98
  5. Step 5: Solve for x
    x = 7,604,098.98/2,401
  6. Step 6: Final answer
    x = 3,167.05

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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.