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Finding the Fourth Proportional to 2,227.96, 3,074.67 and 1,233.22

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Solution

The fourth proportional to 2,227.96, 3,074.67 and 1,233.22 is: 1,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.96 : 3,074.67 = 1,233.22 : x
  2. Step 2: Convert to fraction form
    2,227.96/3,074.67 = 1,233.22/x
  3. Step 3: Cross multiply
    2,227.96x = 3,074.67 × 1,233.22
  4. Step 4: Simplify right side
    2,227.96x = 3,791,729.16
  5. Step 5: Solve for x
    x = 3,791,729.16/2,227.96
  6. Step 6: Final answer
    x = 1,701.89

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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.