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Finding the Fourth Proportional to 2,754.63, 4,132.06 and 806.83

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Solution

The fourth proportional to 2,754.63, 4,132.06 and 806.83 is: 1,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.63 : 4,132.06 = 806.83 : x
  2. Step 2: Convert to fraction form
    2,754.63/4,132.06 = 806.83/x
  3. Step 3: Cross multiply
    2,754.63x = 4,132.06 × 806.83
  4. Step 4: Simplify right side
    2,754.63x = 3,333,857.62
  5. Step 5: Solve for x
    x = 3,333,857.62/2,754.63
  6. Step 6: Final answer
    x = 1,210.27

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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.