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Finding the Fourth Proportional to 2,269.44, 3,399.12 and 1,401.84

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Solution

The fourth proportional to 2,269.44, 3,399.12 and 1,401.84 is: 2,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.44 : 3,399.12 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    2,269.44/3,399.12 = 1,401.84/x
  3. Step 3: Cross multiply
    2,269.44x = 3,399.12 × 1,401.84
  4. Step 4: Simplify right side
    2,269.44x = 4,765,022.38
  5. Step 5: Solve for x
    x = 4,765,022.38/2,269.44
  6. Step 6: Final answer
    x = 2,099.65

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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.