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Finding the Fourth Proportional to 3,204.54, 4,809.24 and 2,162.07

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Solution

The fourth proportional to 3,204.54, 4,809.24 and 2,162.07 is: 3,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.54 : 4,809.24 = 2,162.07 : x
  2. Step 2: Convert to fraction form
    3,204.54/4,809.24 = 2,162.07/x
  3. Step 3: Cross multiply
    3,204.54x = 4,809.24 × 2,162.07
  4. Step 4: Simplify right side
    3,204.54x = 10,397,913.53
  5. Step 5: Solve for x
    x = 10,397,913.53/3,204.54
  6. Step 6: Final answer
    x = 3,244.74

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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.