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Finding the Fourth Proportional to 2,245.62, 3,361.20 and 1,203

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Solution

The fourth proportional to 2,245.62, 3,361.20 and 1,203 is: 1,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.62 : 3,361.20 = 1,203 : x
  2. Step 2: Convert to fraction form
    2,245.62/3,361.20 = 1,203/x
  3. Step 3: Cross multiply
    2,245.62x = 3,361.20 × 1,203
  4. Step 4: Simplify right side
    2,245.62x = 4,043,523.60
  5. Step 5: Solve for x
    x = 4,043,523.60/2,245.62
  6. Step 6: Final answer
    x = 1,800.63

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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.