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Finding the Fourth Proportional to 2,769.76, 3,824.04 and 1,723.24

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Solution

The fourth proportional to 2,769.76, 3,824.04 and 1,723.24 is: 2,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.76 : 3,824.04 = 1,723.24 : x
  2. Step 2: Convert to fraction form
    2,769.76/3,824.04 = 1,723.24/x
  3. Step 3: Cross multiply
    2,769.76x = 3,824.04 × 1,723.24
  4. Step 4: Simplify right side
    2,769.76x = 6,589,738.69
  5. Step 5: Solve for x
    x = 6,589,738.69/2,769.76
  6. Step 6: Final answer
    x = 2,379.17

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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.