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Finding the Fourth Proportional to 3,398.32, 4,689.68 and 1,906.23

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Solution

The fourth proportional to 3,398.32, 4,689.68 and 1,906.23 is: 2,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.32 : 4,689.68 = 1,906.23 : x
  2. Step 2: Convert to fraction form
    3,398.32/4,689.68 = 1,906.23/x
  3. Step 3: Cross multiply
    3,398.32x = 4,689.68 × 1,906.23
  4. Step 4: Simplify right side
    3,398.32x = 8,939,635.53
  5. Step 5: Solve for x
    x = 8,939,635.53/3,398.32
  6. Step 6: Final answer
    x = 2,630.61

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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.