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Finding the Fourth Proportional to 2,003.97, 3,005.81 and 543.09

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Solution

The fourth proportional to 2,003.97, 3,005.81 and 543.09 is: 814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.97 : 3,005.81 = 543.09 : x
  2. Step 2: Convert to fraction form
    2,003.97/3,005.81 = 543.09/x
  3. Step 3: Cross multiply
    2,003.97x = 3,005.81 × 543.09
  4. Step 4: Simplify right side
    2,003.97x = 1,632,422.64
  5. Step 5: Solve for x
    x = 1,632,422.64/2,003.97
  6. Step 6: Final answer
    x = 814.59

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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.