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Finding the Fourth Proportional to 2,858.31, 3,944.16 and 1,679.40

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Solution

The fourth proportional to 2,858.31, 3,944.16 and 1,679.40 is: 2,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.31 : 3,944.16 = 1,679.40 : x
  2. Step 2: Convert to fraction form
    2,858.31/3,944.16 = 1,679.40/x
  3. Step 3: Cross multiply
    2,858.31x = 3,944.16 × 1,679.40
  4. Step 4: Simplify right side
    2,858.31x = 6,623,822.30
  5. Step 5: Solve for x
    x = 6,623,822.30/2,858.31
  6. Step 6: Final answer
    x = 2,317.39

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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.