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Finding the Fourth Proportional to 2,234.13, 3,351.10 and 935.50

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Solution

The fourth proportional to 2,234.13, 3,351.10 and 935.50 is: 1,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.13 : 3,351.10 = 935.50 : x
  2. Step 2: Convert to fraction form
    2,234.13/3,351.10 = 935.50/x
  3. Step 3: Cross multiply
    2,234.13x = 3,351.10 × 935.50
  4. Step 4: Simplify right side
    2,234.13x = 3,134,954.05
  5. Step 5: Solve for x
    x = 3,134,954.05/2,234.13
  6. Step 6: Final answer
    x = 1,403.21

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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.