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Finding the Fourth Proportional to 2,234.91, 3,352 and 591.56

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Solution

The fourth proportional to 2,234.91, 3,352 and 591.56 is: 887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.91 : 3,352 = 591.56 : x
  2. Step 2: Convert to fraction form
    2,234.91/3,352 = 591.56/x
  3. Step 3: Cross multiply
    2,234.91x = 3,352 × 591.56
  4. Step 4: Simplify right side
    2,234.91x = 1,982,909.12
  5. Step 5: Solve for x
    x = 1,982,909.12/2,234.91
  6. Step 6: Final answer
    x = 887.24

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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.