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Finding the Fourth Proportional to 3,398.13, 4,689.95 and 1,906.65

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Solution

The fourth proportional to 3,398.13, 4,689.95 and 1,906.65 is: 2,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.13 : 4,689.95 = 1,906.65 : x
  2. Step 2: Convert to fraction form
    3,398.13/4,689.95 = 1,906.65/x
  3. Step 3: Cross multiply
    3,398.13x = 4,689.95 × 1,906.65
  4. Step 4: Simplify right side
    3,398.13x = 8,942,083.63
  5. Step 5: Solve for x
    x = 8,942,083.63/3,398.13
  6. Step 6: Final answer
    x = 2,631.47

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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.