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Finding the Fourth Proportional to 2,760.44, 4,140.88 and 812.66

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Solution

The fourth proportional to 2,760.44, 4,140.88 and 812.66 is: 1,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.44 : 4,140.88 = 812.66 : x
  2. Step 2: Convert to fraction form
    2,760.44/4,140.88 = 812.66/x
  3. Step 3: Cross multiply
    2,760.44x = 4,140.88 × 812.66
  4. Step 4: Simplify right side
    2,760.44x = 3,365,127.54
  5. Step 5: Solve for x
    x = 3,365,127.54/2,760.44
  6. Step 6: Final answer
    x = 1,219.05

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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.