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Finding the Fourth Proportional to 3,208.56, 4,809 and 2,229.36

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Solution

The fourth proportional to 3,208.56, 4,809 and 2,229.36 is: 3,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.56 : 4,809 = 2,229.36 : x
  2. Step 2: Convert to fraction form
    3,208.56/4,809 = 2,229.36/x
  3. Step 3: Cross multiply
    3,208.56x = 4,809 × 2,229.36
  4. Step 4: Simplify right side
    3,208.56x = 10,720,992.24
  5. Step 5: Solve for x
    x = 10,720,992.24/3,208.56
  6. Step 6: Final answer
    x = 3,341.37

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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.