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Finding the Fourth Proportional to 2,754.71, 4,131.52 and 806.39

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Solution

The fourth proportional to 2,754.71, 4,131.52 and 806.39 is: 1,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.71 : 4,131.52 = 806.39 : x
  2. Step 2: Convert to fraction form
    2,754.71/4,131.52 = 806.39/x
  3. Step 3: Cross multiply
    2,754.71x = 4,131.52 × 806.39
  4. Step 4: Simplify right side
    2,754.71x = 3,331,616.41
  5. Step 5: Solve for x
    x = 3,331,616.41/2,754.71
  6. Step 6: Final answer
    x = 1,209.43

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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.