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Finding the Fourth Proportional to 2,604.70, 3,593.85 and 1,610.02

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Solution

The fourth proportional to 2,604.70, 3,593.85 and 1,610.02 is: 2,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.70 : 3,593.85 = 1,610.02 : x
  2. Step 2: Convert to fraction form
    2,604.70/3,593.85 = 1,610.02/x
  3. Step 3: Cross multiply
    2,604.70x = 3,593.85 × 1,610.02
  4. Step 4: Simplify right side
    2,604.70x = 5,786,170.38
  5. Step 5: Solve for x
    x = 5,786,170.38/2,604.70
  6. Step 6: Final answer
    x = 2,221.43

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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.