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Finding the Fourth Proportional to 2,238.19, 3,357.28 and 851.20

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Solution

The fourth proportional to 2,238.19, 3,357.28 and 851.20 is: 1,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.19 : 3,357.28 = 851.20 : x
  2. Step 2: Convert to fraction form
    2,238.19/3,357.28 = 851.20/x
  3. Step 3: Cross multiply
    2,238.19x = 3,357.28 × 851.20
  4. Step 4: Simplify right side
    2,238.19x = 2,857,716.74
  5. Step 5: Solve for x
    x = 2,857,716.74/2,238.19
  6. Step 6: Final answer
    x = 1,276.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.