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Finding the Fourth Proportional to 2,399.28, 3,289.41 and 2,355.54

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Solution

The fourth proportional to 2,399.28, 3,289.41 and 2,355.54 is: 3,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.28 : 3,289.41 = 2,355.54 : x
  2. Step 2: Convert to fraction form
    2,399.28/3,289.41 = 2,355.54/x
  3. Step 3: Cross multiply
    2,399.28x = 3,289.41 × 2,355.54
  4. Step 4: Simplify right side
    2,399.28x = 7,748,336.83
  5. Step 5: Solve for x
    x = 7,748,336.83/2,399.28
  6. Step 6: Final answer
    x = 3,229.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.