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Finding the Fourth Proportional to 2,760.72, 3,807.24 and 2,340.60

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Solution

The fourth proportional to 2,760.72, 3,807.24 and 2,340.60 is: 3,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.72 : 3,807.24 = 2,340.60 : x
  2. Step 2: Convert to fraction form
    2,760.72/3,807.24 = 2,340.60/x
  3. Step 3: Cross multiply
    2,760.72x = 3,807.24 × 2,340.60
  4. Step 4: Simplify right side
    2,760.72x = 8,911,225.94
  5. Step 5: Solve for x
    x = 8,911,225.94/2,760.72
  6. Step 6: Final answer
    x = 3,227.86

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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.