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Finding the Fourth Proportional to 2,601, 3,589.44 and 1,606.96

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Solution

The fourth proportional to 2,601, 3,589.44 and 1,606.96 is: 2,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,589.44 = 1,606.96 : x
  2. Step 2: Convert to fraction form
    2,601/3,589.44 = 1,606.96/x
  3. Step 3: Cross multiply
    2,601x = 3,589.44 × 1,606.96
  4. Step 4: Simplify right side
    2,601x = 5,768,086.50
  5. Step 5: Solve for x
    x = 5,768,086.50/2,601
  6. Step 6: Final answer
    x = 2,217.64

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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.