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Finding the Fourth Proportional to 2,769.80, 3,817.33 and 2,270.84

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Solution

The fourth proportional to 2,769.80, 3,817.33 and 2,270.84 is: 3,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.80 : 3,817.33 = 2,270.84 : x
  2. Step 2: Convert to fraction form
    2,769.80/3,817.33 = 2,270.84/x
  3. Step 3: Cross multiply
    2,769.80x = 3,817.33 × 2,270.84
  4. Step 4: Simplify right side
    2,769.80x = 8,668,520.89
  5. Step 5: Solve for x
    x = 8,668,520.89/2,769.80
  6. Step 6: Final answer
    x = 3,129.66

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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.