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Finding the Fourth Proportional to 2,682.44, 4,022.67 and 926.99

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Solution

The fourth proportional to 2,682.44, 4,022.67 and 926.99 is: 1,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.44 : 4,022.67 = 926.99 : x
  2. Step 2: Convert to fraction form
    2,682.44/4,022.67 = 926.99/x
  3. Step 3: Cross multiply
    2,682.44x = 4,022.67 × 926.99
  4. Step 4: Simplify right side
    2,682.44x = 3,728,974.86
  5. Step 5: Solve for x
    x = 3,728,974.86/2,682.44
  6. Step 6: Final answer
    x = 1,390.14

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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.