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Finding the Fourth Proportional to 2,625, 3,622.03 and 1,616.37

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Solution

The fourth proportional to 2,625, 3,622.03 and 1,616.37 is: 2,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625 : 3,622.03 = 1,616.37 : x
  2. Step 2: Convert to fraction form
    2,625/3,622.03 = 1,616.37/x
  3. Step 3: Cross multiply
    2,625x = 3,622.03 × 1,616.37
  4. Step 4: Simplify right side
    2,625x = 5,854,540.63
  5. Step 5: Solve for x
    x = 5,854,540.63/2,625
  6. Step 6: Final answer
    x = 2,230.30

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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.