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Finding the Fourth Proportional to 2,769.20, 3,813.72 and 2,708.72

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Solution

The fourth proportional to 2,769.20, 3,813.72 and 2,708.72 is: 3,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.20 : 3,813.72 = 2,708.72 : x
  2. Step 2: Convert to fraction form
    2,769.20/3,813.72 = 2,708.72/x
  3. Step 3: Cross multiply
    2,769.20x = 3,813.72 × 2,708.72
  4. Step 4: Simplify right side
    2,769.20x = 10,330,299.64
  5. Step 5: Solve for x
    x = 10,330,299.64/2,769.20
  6. Step 6: Final answer
    x = 3,730.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.