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Finding the Fourth Proportional to 3,222.40, 4,832.40 and 2,245.60

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Solution

The fourth proportional to 3,222.40, 4,832.40 and 2,245.60 is: 3,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.40 : 4,832.40 = 2,245.60 : x
  2. Step 2: Convert to fraction form
    3,222.40/4,832.40 = 2,245.60/x
  3. Step 3: Cross multiply
    3,222.40x = 4,832.40 × 2,245.60
  4. Step 4: Simplify right side
    3,222.40x = 10,851,637.44
  5. Step 5: Solve for x
    x = 10,851,637.44/3,222.40
  6. Step 6: Final answer
    x = 3,367.56

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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.