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Finding the Fourth Proportional to 3,199.56, 4,796.25 and 1,640.29

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Solution

The fourth proportional to 3,199.56, 4,796.25 and 1,640.29 is: 2,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.56 : 4,796.25 = 1,640.29 : x
  2. Step 2: Convert to fraction form
    3,199.56/4,796.25 = 1,640.29/x
  3. Step 3: Cross multiply
    3,199.56x = 4,796.25 × 1,640.29
  4. Step 4: Simplify right side
    3,199.56x = 7,867,240.91
  5. Step 5: Solve for x
    x = 7,867,240.91/3,199.56
  6. Step 6: Final answer
    x = 2,458.85

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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.