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Finding the Fourth Proportional to 2,227.86, 3,074.41 and 1,233.15

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Solution

The fourth proportional to 2,227.86, 3,074.41 and 1,233.15 is: 1,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.86 : 3,074.41 = 1,233.15 : x
  2. Step 2: Convert to fraction form
    2,227.86/3,074.41 = 1,233.15/x
  3. Step 3: Cross multiply
    2,227.86x = 3,074.41 × 1,233.15
  4. Step 4: Simplify right side
    2,227.86x = 3,791,191.77
  5. Step 5: Solve for x
    x = 3,791,191.77/2,227.86
  6. Step 6: Final answer
    x = 1,701.72

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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.