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Finding the Fourth Proportional to 2,731.50, 3,771.69 and 2,227.44

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Solution

The fourth proportional to 2,731.50, 3,771.69 and 2,227.44 is: 3,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.50 : 3,771.69 = 2,227.44 : x
  2. Step 2: Convert to fraction form
    2,731.50/3,771.69 = 2,227.44/x
  3. Step 3: Cross multiply
    2,731.50x = 3,771.69 × 2,227.44
  4. Step 4: Simplify right side
    2,731.50x = 8,401,213.17
  5. Step 5: Solve for x
    x = 8,401,213.17/2,731.50
  6. Step 6: Final answer
    x = 3,075.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.