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Finding the Fourth Proportional to 2,236.98, 3,354.57 and 676.50

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Solution

The fourth proportional to 2,236.98, 3,354.57 and 676.50 is: 1,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.98 : 3,354.57 = 676.50 : x
  2. Step 2: Convert to fraction form
    2,236.98/3,354.57 = 676.50/x
  3. Step 3: Cross multiply
    2,236.98x = 3,354.57 × 676.50
  4. Step 4: Simplify right side
    2,236.98x = 2,269,366.61
  5. Step 5: Solve for x
    x = 2,269,366.61/2,236.98
  6. Step 6: Final answer
    x = 1,014.48

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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.