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Finding the Fourth Proportional to 2,311.93, 3,472.76 and 2,234.17

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Solution

The fourth proportional to 2,311.93, 3,472.76 and 2,234.17 is: 3,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.93 : 3,472.76 = 2,234.17 : x
  2. Step 2: Convert to fraction form
    2,311.93/3,472.76 = 2,234.17/x
  3. Step 3: Cross multiply
    2,311.93x = 3,472.76 × 2,234.17
  4. Step 4: Simplify right side
    2,311.93x = 7,758,736.21
  5. Step 5: Solve for x
    x = 7,758,736.21/2,311.93
  6. Step 6: Final answer
    x = 3,355.96

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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.