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Finding the Fourth Proportional to 4,198.95, 6,297.21 and 1,601.28

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Solution

The fourth proportional to 4,198.95, 6,297.21 and 1,601.28 is: 2,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.95 : 6,297.21 = 1,601.28 : x
  2. Step 2: Convert to fraction form
    4,198.95/6,297.21 = 1,601.28/x
  3. Step 3: Cross multiply
    4,198.95x = 6,297.21 × 1,601.28
  4. Step 4: Simplify right side
    4,198.95x = 10,083,596.43
  5. Step 5: Solve for x
    x = 10,083,596.43/4,198.95
  6. Step 6: Final answer
    x = 2,401.46

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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.