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Finding the Fourth Proportional to 2,234.66, 3,351.62 and 591.31

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Solution

The fourth proportional to 2,234.66, 3,351.62 and 591.31 is: 886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.66 : 3,351.62 = 591.31 : x
  2. Step 2: Convert to fraction form
    2,234.66/3,351.62 = 591.31/x
  3. Step 3: Cross multiply
    2,234.66x = 3,351.62 × 591.31
  4. Step 4: Simplify right side
    2,234.66x = 1,981,839.52
  5. Step 5: Solve for x
    x = 1,981,839.52/2,234.66
  6. Step 6: Final answer
    x = 886.86

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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.