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Finding the Fourth Proportional to 3,002.28, 4,144.41 and 1,823.73

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Solution

The fourth proportional to 3,002.28, 4,144.41 and 1,823.73 is: 2,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.28 : 4,144.41 = 1,823.73 : x
  2. Step 2: Convert to fraction form
    3,002.28/4,144.41 = 1,823.73/x
  3. Step 3: Cross multiply
    3,002.28x = 4,144.41 × 1,823.73
  4. Step 4: Simplify right side
    3,002.28x = 7,558,284.85
  5. Step 5: Solve for x
    x = 7,558,284.85/3,002.28
  6. Step 6: Final answer
    x = 2,517.51

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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.