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Finding the Fourth Proportional to 4,269.44, 6,404.49 and 1,638.21

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Solution

The fourth proportional to 4,269.44, 6,404.49 and 1,638.21 is: 2,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.44 : 6,404.49 = 1,638.21 : x
  2. Step 2: Convert to fraction form
    4,269.44/6,404.49 = 1,638.21/x
  3. Step 3: Cross multiply
    4,269.44x = 6,404.49 × 1,638.21
  4. Step 4: Simplify right side
    4,269.44x = 10,491,867.54
  5. Step 5: Solve for x
    x = 10,491,867.54/4,269.44
  6. Step 6: Final answer
    x = 2,457.43

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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.