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Finding the Fourth Proportional to 2,234.52, 3,351.94 and 591.05

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Solution

The fourth proportional to 2,234.52, 3,351.94 and 591.05 is: 886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.52 : 3,351.94 = 591.05 : x
  2. Step 2: Convert to fraction form
    2,234.52/3,351.94 = 591.05/x
  3. Step 3: Cross multiply
    2,234.52x = 3,351.94 × 591.05
  4. Step 4: Simplify right side
    2,234.52x = 1,981,153.85
  5. Step 5: Solve for x
    x = 1,981,153.85/2,234.52
  6. Step 6: Final answer
    x = 886.61

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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.