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Finding the Fourth Proportional to 2,314.31, 3,193.16 and 1,723.82

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Solution

The fourth proportional to 2,314.31, 3,193.16 and 1,723.82 is: 2,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.31 : 3,193.16 = 1,723.82 : x
  2. Step 2: Convert to fraction form
    2,314.31/3,193.16 = 1,723.82/x
  3. Step 3: Cross multiply
    2,314.31x = 3,193.16 × 1,723.82
  4. Step 4: Simplify right side
    2,314.31x = 5,504,408.49
  5. Step 5: Solve for x
    x = 5,504,408.49/2,314.31
  6. Step 6: Final answer
    x = 2,378.43

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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.