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Finding the Fourth Proportional to 3,293.70, 4,940.48 and 828.52

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Solution

The fourth proportional to 3,293.70, 4,940.48 and 828.52 is: 1,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.70 : 4,940.48 = 828.52 : x
  2. Step 2: Convert to fraction form
    3,293.70/4,940.48 = 828.52/x
  3. Step 3: Cross multiply
    3,293.70x = 4,940.48 × 828.52
  4. Step 4: Simplify right side
    3,293.70x = 4,093,286.49
  5. Step 5: Solve for x
    x = 4,093,286.49/3,293.70
  6. Step 6: Final answer
    x = 1,242.76

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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.