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Finding the Fourth Proportional to 2,755.31, 3,804.30 and 1,694.49

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Solution

The fourth proportional to 2,755.31, 3,804.30 and 1,694.49 is: 2,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.31 : 3,804.30 = 1,694.49 : x
  2. Step 2: Convert to fraction form
    2,755.31/3,804.30 = 1,694.49/x
  3. Step 3: Cross multiply
    2,755.31x = 3,804.30 × 1,694.49
  4. Step 4: Simplify right side
    2,755.31x = 6,446,339.83
  5. Step 5: Solve for x
    x = 6,446,339.83/2,755.31
  6. Step 6: Final answer
    x = 2,339.61

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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.