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Finding the Fourth Proportional to 3,201.56, 4,801.24 and 1,969.52

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Solution

The fourth proportional to 3,201.56, 4,801.24 and 1,969.52 is: 2,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.56 : 4,801.24 = 1,969.52 : x
  2. Step 2: Convert to fraction form
    3,201.56/4,801.24 = 1,969.52/x
  3. Step 3: Cross multiply
    3,201.56x = 4,801.24 × 1,969.52
  4. Step 4: Simplify right side
    3,201.56x = 9,456,138.20
  5. Step 5: Solve for x
    x = 9,456,138.20/3,201.56
  6. Step 6: Final answer
    x = 2,953.60

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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.