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Finding the Fourth Proportional to 2,722.86, 4,083.80 and 1,163.74

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Solution

The fourth proportional to 2,722.86, 4,083.80 and 1,163.74 is: 1,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.86 : 4,083.80 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    2,722.86/4,083.80 = 1,163.74/x
  3. Step 3: Cross multiply
    2,722.86x = 4,083.80 × 1,163.74
  4. Step 4: Simplify right side
    2,722.86x = 4,752,481.41
  5. Step 5: Solve for x
    x = 4,752,481.41/2,722.86
  6. Step 6: Final answer
    x = 1,745.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.