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Finding the Fourth Proportional to 2,401, 3,597.41 and 1,704.22

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Solution

The fourth proportional to 2,401, 3,597.41 and 1,704.22 is: 2,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401 : 3,597.41 = 1,704.22 : x
  2. Step 2: Convert to fraction form
    2,401/3,597.41 = 1,704.22/x
  3. Step 3: Cross multiply
    2,401x = 3,597.41 × 1,704.22
  4. Step 4: Simplify right side
    2,401x = 6,130,769.55
  5. Step 5: Solve for x
    x = 6,130,769.55/2,401
  6. Step 6: Final answer
    x = 2,553.42

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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.