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Finding the Fourth Proportional to 2,105.97, 2,904.57 and 1,635.30

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Solution

The fourth proportional to 2,105.97, 2,904.57 and 1,635.30 is: 2,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.97 : 2,904.57 = 1,635.30 : x
  2. Step 2: Convert to fraction form
    2,105.97/2,904.57 = 1,635.30/x
  3. Step 3: Cross multiply
    2,105.97x = 2,904.57 × 1,635.30
  4. Step 4: Simplify right side
    2,105.97x = 4,749,843.32
  5. Step 5: Solve for x
    x = 4,749,843.32/2,105.97
  6. Step 6: Final answer
    x = 2,255.42

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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.