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Finding the Fourth Proportional to 2,760.09, 4,140.34 and 812.38

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Solution

The fourth proportional to 2,760.09, 4,140.34 and 812.38 is: 1,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.09 : 4,140.34 = 812.38 : x
  2. Step 2: Convert to fraction form
    2,760.09/4,140.34 = 812.38/x
  3. Step 3: Cross multiply
    2,760.09x = 4,140.34 × 812.38
  4. Step 4: Simplify right side
    2,760.09x = 3,363,527.08
  5. Step 5: Solve for x
    x = 3,363,527.08/2,760.09
  6. Step 6: Final answer
    x = 1,218.63

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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.