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Finding the Fourth Proportional to 2,866.38, 3,959.37 and 2,308.90

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Solution

The fourth proportional to 2,866.38, 3,959.37 and 2,308.90 is: 3,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.38 : 3,959.37 = 2,308.90 : x
  2. Step 2: Convert to fraction form
    2,866.38/3,959.37 = 2,308.90/x
  3. Step 3: Cross multiply
    2,866.38x = 3,959.37 × 2,308.90
  4. Step 4: Simplify right side
    2,866.38x = 9,141,777.85
  5. Step 5: Solve for x
    x = 9,141,777.85/2,866.38
  6. Step 6: Final answer
    x = 3,189.31

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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.