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Finding the Fourth Proportional to 2,694.26, 3,720.94 and 2,103.92

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Solution

The fourth proportional to 2,694.26, 3,720.94 and 2,103.92 is: 2,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.26 : 3,720.94 = 2,103.92 : x
  2. Step 2: Convert to fraction form
    2,694.26/3,720.94 = 2,103.92/x
  3. Step 3: Cross multiply
    2,694.26x = 3,720.94 × 2,103.92
  4. Step 4: Simplify right side
    2,694.26x = 7,828,571.10
  5. Step 5: Solve for x
    x = 7,828,571.10/2,694.26
  6. Step 6: Final answer
    x = 2,905.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.