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Finding the Fourth Proportional to 2,918.25, 4,027.19 and 1,676.49

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Solution

The fourth proportional to 2,918.25, 4,027.19 and 1,676.49 is: 2,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.25 : 4,027.19 = 1,676.49 : x
  2. Step 2: Convert to fraction form
    2,918.25/4,027.19 = 1,676.49/x
  3. Step 3: Cross multiply
    2,918.25x = 4,027.19 × 1,676.49
  4. Step 4: Simplify right side
    2,918.25x = 6,751,535.38
  5. Step 5: Solve for x
    x = 6,751,535.38/2,918.25
  6. Step 6: Final answer
    x = 2,313.56

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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.