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Finding the Fourth Proportional to 3,398.61, 4,689.93 and 1,906.68

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Solution

The fourth proportional to 3,398.61, 4,689.93 and 1,906.68 is: 2,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.61 : 4,689.93 = 1,906.68 : x
  2. Step 2: Convert to fraction form
    3,398.61/4,689.93 = 1,906.68/x
  3. Step 3: Cross multiply
    3,398.61x = 4,689.93 × 1,906.68
  4. Step 4: Simplify right side
    3,398.61x = 8,942,195.73
  5. Step 5: Solve for x
    x = 8,942,195.73/3,398.61
  6. Step 6: Final answer
    x = 2,631.13

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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.