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Finding the Fourth Proportional to 2,760.38, 4,141.26 and 812.58

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Solution

The fourth proportional to 2,760.38, 4,141.26 and 812.58 is: 1,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.38 : 4,141.26 = 812.58 : x
  2. Step 2: Convert to fraction form
    2,760.38/4,141.26 = 812.58/x
  3. Step 3: Cross multiply
    2,760.38x = 4,141.26 × 812.58
  4. Step 4: Simplify right side
    2,760.38x = 3,365,105.05
  5. Step 5: Solve for x
    x = 3,365,105.05/2,760.38
  6. Step 6: Final answer
    x = 1,219.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.