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Finding the Fourth Proportional to 2,836.57, 4,261.74 and 2,760.43

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Solution

The fourth proportional to 2,836.57, 4,261.74 and 2,760.43 is: 4,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.57 : 4,261.74 = 2,760.43 : x
  2. Step 2: Convert to fraction form
    2,836.57/4,261.74 = 2,760.43/x
  3. Step 3: Cross multiply
    2,836.57x = 4,261.74 × 2,760.43
  4. Step 4: Simplify right side
    2,836.57x = 11,764,234.95
  5. Step 5: Solve for x
    x = 11,764,234.95/2,836.57
  6. Step 6: Final answer
    x = 4,147.35

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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.