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Finding the Fourth Proportional to 2,234.43, 3,351.25 and 591

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Solution

The fourth proportional to 2,234.43, 3,351.25 and 591 is: 886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.43 : 3,351.25 = 591 : x
  2. Step 2: Convert to fraction form
    2,234.43/3,351.25 = 591/x
  3. Step 3: Cross multiply
    2,234.43x = 3,351.25 × 591
  4. Step 4: Simplify right side
    2,234.43x = 1,980,588.75
  5. Step 5: Solve for x
    x = 1,980,588.75/2,234.43
  6. Step 6: Final answer
    x = 886.40

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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.