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Finding the Fourth Proportional to 2,529.04, 3,793.92 and 797.28

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Solution

The fourth proportional to 2,529.04, 3,793.92 and 797.28 is: 1,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.04 : 3,793.92 = 797.28 : x
  2. Step 2: Convert to fraction form
    2,529.04/3,793.92 = 797.28/x
  3. Step 3: Cross multiply
    2,529.04x = 3,793.92 × 797.28
  4. Step 4: Simplify right side
    2,529.04x = 3,024,816.54
  5. Step 5: Solve for x
    x = 3,024,816.54/2,529.04
  6. Step 6: Final answer
    x = 1,196.03

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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.