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Finding the Fourth Proportional to 2,227.56, 3,074.05 and 1,232.82

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Solution

The fourth proportional to 2,227.56, 3,074.05 and 1,232.82 is: 1,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.56 : 3,074.05 = 1,232.82 : x
  2. Step 2: Convert to fraction form
    2,227.56/3,074.05 = 1,232.82/x
  3. Step 3: Cross multiply
    2,227.56x = 3,074.05 × 1,232.82
  4. Step 4: Simplify right side
    2,227.56x = 3,789,750.32
  5. Step 5: Solve for x
    x = 3,789,750.32/2,227.56
  6. Step 6: Final answer
    x = 1,701.30

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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.