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Finding the Fourth Proportional to 2,697.94, 4,044.30 and 1,382.31

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Solution

The fourth proportional to 2,697.94, 4,044.30 and 1,382.31 is: 2,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.94 : 4,044.30 = 1,382.31 : x
  2. Step 2: Convert to fraction form
    2,697.94/4,044.30 = 1,382.31/x
  3. Step 3: Cross multiply
    2,697.94x = 4,044.30 × 1,382.31
  4. Step 4: Simplify right side
    2,697.94x = 5,590,471.44
  5. Step 5: Solve for x
    x = 5,590,471.44/2,697.94
  6. Step 6: Final answer
    x = 2,072.13

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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.