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Finding the Fourth Proportional to 3,003.73, 4,145.22 and 1,824.10

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Solution

The fourth proportional to 3,003.73, 4,145.22 and 1,824.10 is: 2,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.73 : 4,145.22 = 1,824.10 : x
  2. Step 2: Convert to fraction form
    3,003.73/4,145.22 = 1,824.10/x
  3. Step 3: Cross multiply
    3,003.73x = 4,145.22 × 1,824.10
  4. Step 4: Simplify right side
    3,003.73x = 7,561,295.80
  5. Step 5: Solve for x
    x = 7,561,295.80/3,003.73
  6. Step 6: Final answer
    x = 2,517.30

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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.