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Finding the Fourth Proportional to 4,198.68, 6,299.64 and 1,601.01

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Solution

The fourth proportional to 4,198.68, 6,299.64 and 1,601.01 is: 2,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.68 : 6,299.64 = 1,601.01 : x
  2. Step 2: Convert to fraction form
    4,198.68/6,299.64 = 1,601.01/x
  3. Step 3: Cross multiply
    4,198.68x = 6,299.64 × 1,601.01
  4. Step 4: Simplify right side
    4,198.68x = 10,085,786.64
  5. Step 5: Solve for x
    x = 10,085,786.64/4,198.68
  6. Step 6: Final answer
    x = 2,402.13

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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.