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Finding the Fourth Proportional to 3,398.44, 4,689.78 and 1,906.36

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Solution

The fourth proportional to 3,398.44, 4,689.78 and 1,906.36 is: 2,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.44 : 4,689.78 = 1,906.36 : x
  2. Step 2: Convert to fraction form
    3,398.44/4,689.78 = 1,906.36/x
  3. Step 3: Cross multiply
    3,398.44x = 4,689.78 × 1,906.36
  4. Step 4: Simplify right side
    3,398.44x = 8,940,409.00
  5. Step 5: Solve for x
    x = 8,940,409.00/3,398.44
  6. Step 6: Final answer
    x = 2,630.74

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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.