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Finding the Fourth Proportional to 2,760.78, 4,142.52 and 2,033.61

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Solution

The fourth proportional to 2,760.78, 4,142.52 and 2,033.61 is: 3,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.78 : 4,142.52 = 2,033.61 : x
  2. Step 2: Convert to fraction form
    2,760.78/4,142.52 = 2,033.61/x
  3. Step 3: Cross multiply
    2,760.78x = 4,142.52 × 2,033.61
  4. Step 4: Simplify right side
    2,760.78x = 8,424,270.10
  5. Step 5: Solve for x
    x = 8,424,270.10/2,760.78
  6. Step 6: Final answer
    x = 3,051.41

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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.