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Finding the Fourth Proportional to 2,940.91, 4,406.81 and 2,323.08

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Solution

The fourth proportional to 2,940.91, 4,406.81 and 2,323.08 is: 3,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.91 : 4,406.81 = 2,323.08 : x
  2. Step 2: Convert to fraction form
    2,940.91/4,406.81 = 2,323.08/x
  3. Step 3: Cross multiply
    2,940.91x = 4,406.81 × 2,323.08
  4. Step 4: Simplify right side
    2,940.91x = 10,237,360.56
  5. Step 5: Solve for x
    x = 10,237,360.56/2,940.91
  6. Step 6: Final answer
    x = 3,481.02

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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.