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Finding the Fourth Proportional to 2,234.63, 3,351.95 and 935.39

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Solution

The fourth proportional to 2,234.63, 3,351.95 and 935.39 is: 1,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.63 : 3,351.95 = 935.39 : x
  2. Step 2: Convert to fraction form
    2,234.63/3,351.95 = 935.39/x
  3. Step 3: Cross multiply
    2,234.63x = 3,351.95 × 935.39
  4. Step 4: Simplify right side
    2,234.63x = 3,135,380.51
  5. Step 5: Solve for x
    x = 3,135,380.51/2,234.63
  6. Step 6: Final answer
    x = 1,403.09

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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.