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Finding the Fourth Proportional to 2,227.56, 3,073.96 and 1,232.80

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Solution

The fourth proportional to 2,227.56, 3,073.96 and 1,232.80 is: 1,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.56 : 3,073.96 = 1,232.80 : x
  2. Step 2: Convert to fraction form
    2,227.56/3,073.96 = 1,232.80/x
  3. Step 3: Cross multiply
    2,227.56x = 3,073.96 × 1,232.80
  4. Step 4: Simplify right side
    2,227.56x = 3,789,577.89
  5. Step 5: Solve for x
    x = 3,789,577.89/2,227.56
  6. Step 6: Final answer
    x = 1,701.22

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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.