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Finding the Fourth Proportional to 2,238.43, 3,359.69 and 1,199.60

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Solution

The fourth proportional to 2,238.43, 3,359.69 and 1,199.60 is: 1,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.43 : 3,359.69 = 1,199.60 : x
  2. Step 2: Convert to fraction form
    2,238.43/3,359.69 = 1,199.60/x
  3. Step 3: Cross multiply
    2,238.43x = 3,359.69 × 1,199.60
  4. Step 4: Simplify right side
    2,238.43x = 4,030,278.13
  5. Step 5: Solve for x
    x = 4,030,278.13/2,238.43
  6. Step 6: Final answer
    x = 1,800.50

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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.