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Finding the Fourth Proportional to 2,769.05, 3,824.01 and 2,368.40

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Solution

The fourth proportional to 2,769.05, 3,824.01 and 2,368.40 is: 3,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.05 : 3,824.01 = 2,368.40 : x
  2. Step 2: Convert to fraction form
    2,769.05/3,824.01 = 2,368.40/x
  3. Step 3: Cross multiply
    2,769.05x = 3,824.01 × 2,368.40
  4. Step 4: Simplify right side
    2,769.05x = 9,056,766.16
  5. Step 5: Solve for x
    x = 9,056,766.16/2,769.05
  6. Step 6: Final answer
    x = 3,270.71

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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.