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Finding the Fourth Proportional to 2,758.87, 4,138.99 and 2,266.11

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Solution

The fourth proportional to 2,758.87, 4,138.99 and 2,266.11 is: 3,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.87 : 4,138.99 = 2,266.11 : x
  2. Step 2: Convert to fraction form
    2,758.87/4,138.99 = 2,266.11/x
  3. Step 3: Cross multiply
    2,758.87x = 4,138.99 × 2,266.11
  4. Step 4: Simplify right side
    2,758.87x = 9,379,400.96
  5. Step 5: Solve for x
    x = 9,379,400.96/2,758.87
  6. Step 6: Final answer
    x = 3,399.72

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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.