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Finding the Fourth Proportional to 2,239.32, 3,357.67 and 852.75

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Solution

The fourth proportional to 2,239.32, 3,357.67 and 852.75 is: 1,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.32 : 3,357.67 = 852.75 : x
  2. Step 2: Convert to fraction form
    2,239.32/3,357.67 = 852.75/x
  3. Step 3: Cross multiply
    2,239.32x = 3,357.67 × 852.75
  4. Step 4: Simplify right side
    2,239.32x = 2,863,236.30
  5. Step 5: Solve for x
    x = 2,863,236.30/2,239.32
  6. Step 6: Final answer
    x = 1,278.62

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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.