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Finding the Fourth Proportional to 1,699.25, 2,344.82 and 991.24

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Solution

The fourth proportional to 1,699.25, 2,344.82 and 991.24 is: 1,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.25 : 2,344.82 = 991.24 : x
  2. Step 2: Convert to fraction form
    1,699.25/2,344.82 = 991.24/x
  3. Step 3: Cross multiply
    1,699.25x = 2,344.82 × 991.24
  4. Step 4: Simplify right side
    1,699.25x = 2,324,268.56
  5. Step 5: Solve for x
    x = 2,324,268.56/1,699.25
  6. Step 6: Final answer
    x = 1,367.82

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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.