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Finding the Fourth Proportional to 3,398.30, 4,689.84 and 1,906.69

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Solution

The fourth proportional to 3,398.30, 4,689.84 and 1,906.69 is: 2,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.30 : 4,689.84 = 1,906.69 : x
  2. Step 2: Convert to fraction form
    3,398.30/4,689.84 = 1,906.69/x
  3. Step 3: Cross multiply
    3,398.30x = 4,689.84 × 1,906.69
  4. Step 4: Simplify right side
    3,398.30x = 8,942,071.03
  5. Step 5: Solve for x
    x = 8,942,071.03/3,398.30
  6. Step 6: Final answer
    x = 2,631.34

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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.