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Finding the Fourth Proportional to 3,201.99, 4,801.95 and 1,227.52

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Solution

The fourth proportional to 3,201.99, 4,801.95 and 1,227.52 is: 1,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.99 : 4,801.95 = 1,227.52 : x
  2. Step 2: Convert to fraction form
    3,201.99/4,801.95 = 1,227.52/x
  3. Step 3: Cross multiply
    3,201.99x = 4,801.95 × 1,227.52
  4. Step 4: Simplify right side
    3,201.99x = 5,894,459.52
  5. Step 5: Solve for x
    x = 5,894,459.52/3,201.99
  6. Step 6: Final answer
    x = 1,840.87

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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.