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Finding the Fourth Proportional to 2,694.98, 4,043.12 and 846.09

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Solution

The fourth proportional to 2,694.98, 4,043.12 and 846.09 is: 1,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.98 : 4,043.12 = 846.09 : x
  2. Step 2: Convert to fraction form
    2,694.98/4,043.12 = 846.09/x
  3. Step 3: Cross multiply
    2,694.98x = 4,043.12 × 846.09
  4. Step 4: Simplify right side
    2,694.98x = 3,420,843.06
  5. Step 5: Solve for x
    x = 3,420,843.06/2,694.98
  6. Step 6: Final answer
    x = 1,269.34

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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.