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Finding the Fourth Proportional to 3,250.41, 4,868.01 and 1,601.64

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Solution

The fourth proportional to 3,250.41, 4,868.01 and 1,601.64 is: 2,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.41 : 4,868.01 = 1,601.64 : x
  2. Step 2: Convert to fraction form
    3,250.41/4,868.01 = 1,601.64/x
  3. Step 3: Cross multiply
    3,250.41x = 4,868.01 × 1,601.64
  4. Step 4: Simplify right side
    3,250.41x = 7,796,799.54
  5. Step 5: Solve for x
    x = 7,796,799.54/3,250.41
  6. Step 6: Final answer
    x = 2,398.71

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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.