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Finding the Fourth Proportional to 2,001.39, 2,997.90 and 1,609.27

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Solution

The fourth proportional to 2,001.39, 2,997.90 and 1,609.27 is: 2,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.39 : 2,997.90 = 1,609.27 : x
  2. Step 2: Convert to fraction form
    2,001.39/2,997.90 = 1,609.27/x
  3. Step 3: Cross multiply
    2,001.39x = 2,997.90 × 1,609.27
  4. Step 4: Simplify right side
    2,001.39x = 4,824,440.21
  5. Step 5: Solve for x
    x = 4,824,440.21/2,001.39
  6. Step 6: Final answer
    x = 2,410.54

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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.