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Finding the Fourth Proportional to 2,272.67, 3,136.44 and 1,264.43

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Solution

The fourth proportional to 2,272.67, 3,136.44 and 1,264.43 is: 1,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.67 : 3,136.44 = 1,264.43 : x
  2. Step 2: Convert to fraction form
    2,272.67/3,136.44 = 1,264.43/x
  3. Step 3: Cross multiply
    2,272.67x = 3,136.44 × 1,264.43
  4. Step 4: Simplify right side
    2,272.67x = 3,965,793.15
  5. Step 5: Solve for x
    x = 3,965,793.15/2,272.67
  6. Step 6: Final answer
    x = 1,745.00

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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.