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Finding the Fourth Proportional to 2,612.08, 3,910.74 and 1,635.22

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Solution

The fourth proportional to 2,612.08, 3,910.74 and 1,635.22 is: 2,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.08 : 3,910.74 = 1,635.22 : x
  2. Step 2: Convert to fraction form
    2,612.08/3,910.74 = 1,635.22/x
  3. Step 3: Cross multiply
    2,612.08x = 3,910.74 × 1,635.22
  4. Step 4: Simplify right side
    2,612.08x = 6,394,920.26
  5. Step 5: Solve for x
    x = 6,394,920.26/2,612.08
  6. Step 6: Final answer
    x = 2,448.21

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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.