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Finding the Fourth Proportional to 2,236.32, 3,353.79 and 676.19

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Solution

The fourth proportional to 2,236.32, 3,353.79 and 676.19 is: 1,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.32 : 3,353.79 = 676.19 : x
  2. Step 2: Convert to fraction form
    2,236.32/3,353.79 = 676.19/x
  3. Step 3: Cross multiply
    2,236.32x = 3,353.79 × 676.19
  4. Step 4: Simplify right side
    2,236.32x = 2,267,782.49
  5. Step 5: Solve for x
    x = 2,267,782.49/2,236.32
  6. Step 6: Final answer
    x = 1,014.07

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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.