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Finding the Fourth Proportional to 2,769.62, 3,821.97 and 1,527.62

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Solution

The fourth proportional to 2,769.62, 3,821.97 and 1,527.62 is: 2,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.62 : 3,821.97 = 1,527.62 : x
  2. Step 2: Convert to fraction form
    2,769.62/3,821.97 = 1,527.62/x
  3. Step 3: Cross multiply
    2,769.62x = 3,821.97 × 1,527.62
  4. Step 4: Simplify right side
    2,769.62x = 5,838,517.81
  5. Step 5: Solve for x
    x = 5,838,517.81/2,769.62
  6. Step 6: Final answer
    x = 2,108.06

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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.