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Finding the Fourth Proportional to 2,236.97, 3,355.80 and 676.78

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Solution

The fourth proportional to 2,236.97, 3,355.80 and 676.78 is: 1,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.97 : 3,355.80 = 676.78 : x
  2. Step 2: Convert to fraction form
    2,236.97/3,355.80 = 676.78/x
  3. Step 3: Cross multiply
    2,236.97x = 3,355.80 × 676.78
  4. Step 4: Simplify right side
    2,236.97x = 2,271,121.55
  5. Step 5: Solve for x
    x = 2,271,121.55/2,236.97
  6. Step 6: Final answer
    x = 1,015.27

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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.