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Finding the Fourth Proportional to 3,175.97, 4,382.83 and 1,759.66

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Solution

The fourth proportional to 3,175.97, 4,382.83 and 1,759.66 is: 2,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.97 : 4,382.83 = 1,759.66 : x
  2. Step 2: Convert to fraction form
    3,175.97/4,382.83 = 1,759.66/x
  3. Step 3: Cross multiply
    3,175.97x = 4,382.83 × 1,759.66
  4. Step 4: Simplify right side
    3,175.97x = 7,712,268.72
  5. Step 5: Solve for x
    x = 7,712,268.72/3,175.97
  6. Step 6: Final answer
    x = 2,428.32

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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.