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Finding the Fourth Proportional to 2,857.50, 3,943.89 and 1,679.22

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Solution

The fourth proportional to 2,857.50, 3,943.89 and 1,679.22 is: 2,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.50 : 3,943.89 = 1,679.22 : x
  2. Step 2: Convert to fraction form
    2,857.50/3,943.89 = 1,679.22/x
  3. Step 3: Cross multiply
    2,857.50x = 3,943.89 × 1,679.22
  4. Step 4: Simplify right side
    2,857.50x = 6,622,658.97
  5. Step 5: Solve for x
    x = 6,622,658.97/2,857.50
  6. Step 6: Final answer
    x = 2,317.64

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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.