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Finding the Fourth Proportional to 3,172.52, 4,753.38 and 2,243.53

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Solution

The fourth proportional to 3,172.52, 4,753.38 and 2,243.53 is: 3,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.52 : 4,753.38 = 2,243.53 : x
  2. Step 2: Convert to fraction form
    3,172.52/4,753.38 = 2,243.53/x
  3. Step 3: Cross multiply
    3,172.52x = 4,753.38 × 2,243.53
  4. Step 4: Simplify right side
    3,172.52x = 10,664,364.99
  5. Step 5: Solve for x
    x = 10,664,364.99/3,172.52
  6. Step 6: Final answer
    x = 3,361.48

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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.