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Finding the Fourth Proportional to 3,234.92, 4,464.22 and 1,837.56

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Solution

The fourth proportional to 3,234.92, 4,464.22 and 1,837.56 is: 2,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.92 : 4,464.22 = 1,837.56 : x
  2. Step 2: Convert to fraction form
    3,234.92/4,464.22 = 1,837.56/x
  3. Step 3: Cross multiply
    3,234.92x = 4,464.22 × 1,837.56
  4. Step 4: Simplify right side
    3,234.92x = 8,203,272.10
  5. Step 5: Solve for x
    x = 8,203,272.10/3,234.92
  6. Step 6: Final answer
    x = 2,535.85

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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.