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Finding the Fourth Proportional to 4,198.52, 6,299.60 and 1,602.20

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Solution

The fourth proportional to 4,198.52, 6,299.60 and 1,602.20 is: 2,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.52 : 6,299.60 = 1,602.20 : x
  2. Step 2: Convert to fraction form
    4,198.52/6,299.60 = 1,602.20/x
  3. Step 3: Cross multiply
    4,198.52x = 6,299.60 × 1,602.20
  4. Step 4: Simplify right side
    4,198.52x = 10,093,219.12
  5. Step 5: Solve for x
    x = 10,093,219.12/4,198.52
  6. Step 6: Final answer
    x = 2,403.99

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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.