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Finding the Fourth Proportional to 2,267.87, 3,399.98 and 1,343.25

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Solution

The fourth proportional to 2,267.87, 3,399.98 and 1,343.25 is: 2,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.87 : 3,399.98 = 1,343.25 : x
  2. Step 2: Convert to fraction form
    2,267.87/3,399.98 = 1,343.25/x
  3. Step 3: Cross multiply
    2,267.87x = 3,399.98 × 1,343.25
  4. Step 4: Simplify right side
    2,267.87x = 4,567,016.42
  5. Step 5: Solve for x
    x = 4,567,016.42/2,267.87
  6. Step 6: Final answer
    x = 2,013.80

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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.