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Finding the Fourth Proportional to 3,201.89, 4,802.07 and 1,227.11

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Solution

The fourth proportional to 3,201.89, 4,802.07 and 1,227.11 is: 1,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.89 : 4,802.07 = 1,227.11 : x
  2. Step 2: Convert to fraction form
    3,201.89/4,802.07 = 1,227.11/x
  3. Step 3: Cross multiply
    3,201.89x = 4,802.07 × 1,227.11
  4. Step 4: Simplify right side
    3,201.89x = 5,892,668.12
  5. Step 5: Solve for x
    x = 5,892,668.12/3,201.89
  6. Step 6: Final answer
    x = 1,840.37

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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.