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Finding the Fourth Proportional to 2,528.72, 3,793.26 and 798.56

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Solution

The fourth proportional to 2,528.72, 3,793.26 and 798.56 is: 1,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.72 : 3,793.26 = 798.56 : x
  2. Step 2: Convert to fraction form
    2,528.72/3,793.26 = 798.56/x
  3. Step 3: Cross multiply
    2,528.72x = 3,793.26 × 798.56
  4. Step 4: Simplify right side
    2,528.72x = 3,029,145.71
  5. Step 5: Solve for x
    x = 3,029,145.71/2,528.72
  6. Step 6: Final answer
    x = 1,197.90

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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.