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Finding the Fourth Proportional to 2,002.21, 3,003.31 and 1,659.49

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Solution

The fourth proportional to 2,002.21, 3,003.31 and 1,659.49 is: 2,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.21 : 3,003.31 = 1,659.49 : x
  2. Step 2: Convert to fraction form
    2,002.21/3,003.31 = 1,659.49/x
  3. Step 3: Cross multiply
    2,002.21x = 3,003.31 × 1,659.49
  4. Step 4: Simplify right side
    2,002.21x = 4,983,962.91
  5. Step 5: Solve for x
    x = 4,983,962.91/2,002.21
  6. Step 6: Final answer
    x = 2,489.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.