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Finding the Fourth Proportional to 2,234.81, 3,352.22 and 935.36

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Solution

The fourth proportional to 2,234.81, 3,352.22 and 935.36 is: 1,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.81 : 3,352.22 = 935.36 : x
  2. Step 2: Convert to fraction form
    2,234.81/3,352.22 = 935.36/x
  3. Step 3: Cross multiply
    2,234.81x = 3,352.22 × 935.36
  4. Step 4: Simplify right side
    2,234.81x = 3,135,527.82
  5. Step 5: Solve for x
    x = 3,135,527.82/2,234.81
  6. Step 6: Final answer
    x = 1,403.04

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Why These Related Problems?

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