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Finding the Fourth Proportional to 2,512.56, 3,769.20 and 780.80

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Solution

The fourth proportional to 2,512.56, 3,769.20 and 780.80 is: 1,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.56 : 3,769.20 = 780.80 : x
  2. Step 2: Convert to fraction form
    2,512.56/3,769.20 = 780.80/x
  3. Step 3: Cross multiply
    2,512.56x = 3,769.20 × 780.80
  4. Step 4: Simplify right side
    2,512.56x = 2,942,991.36
  5. Step 5: Solve for x
    x = 2,942,991.36/2,512.56
  6. Step 6: Final answer
    x = 1,171.31

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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.