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Finding the Fourth Proportional to 2,858.56, 3,943.92 and 1,679.68

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Solution

The fourth proportional to 2,858.56, 3,943.92 and 1,679.68 is: 2,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.56 : 3,943.92 = 1,679.68 : x
  2. Step 2: Convert to fraction form
    2,858.56/3,943.92 = 1,679.68/x
  3. Step 3: Cross multiply
    2,858.56x = 3,943.92 × 1,679.68
  4. Step 4: Simplify right side
    2,858.56x = 6,624,523.55
  5. Step 5: Solve for x
    x = 6,624,523.55/2,858.56
  6. Step 6: Final answer
    x = 2,317.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.