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Finding the Fourth Proportional to 4,204.54, 6,306.81 and 1,608.09

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Solution

The fourth proportional to 4,204.54, 6,306.81 and 1,608.09 is: 2,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.54 : 6,306.81 = 1,608.09 : x
  2. Step 2: Convert to fraction form
    4,204.54/6,306.81 = 1,608.09/x
  3. Step 3: Cross multiply
    4,204.54x = 6,306.81 × 1,608.09
  4. Step 4: Simplify right side
    4,204.54x = 10,141,918.09
  5. Step 5: Solve for x
    x = 10,141,918.09/4,204.54
  6. Step 6: Final answer
    x = 2,412.14

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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.