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Finding the Fourth Proportional to 2,150.31, 3,226.56 and 852.69

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Solution

The fourth proportional to 2,150.31, 3,226.56 and 852.69 is: 1,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.31 : 3,226.56 = 852.69 : x
  2. Step 2: Convert to fraction form
    2,150.31/3,226.56 = 852.69/x
  3. Step 3: Cross multiply
    2,150.31x = 3,226.56 × 852.69
  4. Step 4: Simplify right side
    2,150.31x = 2,751,255.45
  5. Step 5: Solve for x
    x = 2,751,255.45/2,150.31
  6. Step 6: Final answer
    x = 1,279.47

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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.