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Finding the Fourth Proportional to 2,769.27, 3,820.80 and 1,706.68

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Solution

The fourth proportional to 2,769.27, 3,820.80 and 1,706.68 is: 2,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.27 : 3,820.80 = 1,706.68 : x
  2. Step 2: Convert to fraction form
    2,769.27/3,820.80 = 1,706.68/x
  3. Step 3: Cross multiply
    2,769.27x = 3,820.80 × 1,706.68
  4. Step 4: Simplify right side
    2,769.27x = 6,520,882.94
  5. Step 5: Solve for x
    x = 6,520,882.94/2,769.27
  6. Step 6: Final answer
    x = 2,354.73

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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.