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Finding the Fourth Proportional to 2,268.69, 3,401.91 and 1,331.88

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Solution

The fourth proportional to 2,268.69, 3,401.91 and 1,331.88 is: 1,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.69 : 3,401.91 = 1,331.88 : x
  2. Step 2: Convert to fraction form
    2,268.69/3,401.91 = 1,331.88/x
  3. Step 3: Cross multiply
    2,268.69x = 3,401.91 × 1,331.88
  4. Step 4: Simplify right side
    2,268.69x = 4,530,935.89
  5. Step 5: Solve for x
    x = 4,530,935.89/2,268.69
  6. Step 6: Final answer
    x = 1,997.16

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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.