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Finding the Fourth Proportional to 2,234.82, 3,351.96 and 591.49

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Solution

The fourth proportional to 2,234.82, 3,351.96 and 591.49 is: 887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.82 : 3,351.96 = 591.49 : x
  2. Step 2: Convert to fraction form
    2,234.82/3,351.96 = 591.49/x
  3. Step 3: Cross multiply
    2,234.82x = 3,351.96 × 591.49
  4. Step 4: Simplify right side
    2,234.82x = 1,982,650.82
  5. Step 5: Solve for x
    x = 1,982,650.82/2,234.82
  6. Step 6: Final answer
    x = 887.17

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1.5x scale

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.