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Finding the Fourth Proportional to 3,015.23, 4,522.11 and 823.97

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Solution

The fourth proportional to 3,015.23, 4,522.11 and 823.97 is: 1,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.23 : 4,522.11 = 823.97 : x
  2. Step 2: Convert to fraction form
    3,015.23/4,522.11 = 823.97/x
  3. Step 3: Cross multiply
    3,015.23x = 4,522.11 × 823.97
  4. Step 4: Simplify right side
    3,015.23x = 3,726,082.98
  5. Step 5: Solve for x
    x = 3,726,082.98/3,015.23
  6. Step 6: Final answer
    x = 1,235.75

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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.