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Finding the Fourth Proportional to 2,843.30, 3,923.54 and 2,003.64

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Solution

The fourth proportional to 2,843.30, 3,923.54 and 2,003.64 is: 2,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.30 : 3,923.54 = 2,003.64 : x
  2. Step 2: Convert to fraction form
    2,843.30/3,923.54 = 2,003.64/x
  3. Step 3: Cross multiply
    2,843.30x = 3,923.54 × 2,003.64
  4. Step 4: Simplify right side
    2,843.30x = 7,861,344.47
  5. Step 5: Solve for x
    x = 7,861,344.47/2,843.30
  6. Step 6: Final answer
    x = 2,764.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.