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Finding the Fourth Proportional to 2,882.08, 3,958.12 and 2,415.52

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Solution

The fourth proportional to 2,882.08, 3,958.12 and 2,415.52 is: 3,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.08 : 3,958.12 = 2,415.52 : x
  2. Step 2: Convert to fraction form
    2,882.08/3,958.12 = 2,415.52/x
  3. Step 3: Cross multiply
    2,882.08x = 3,958.12 × 2,415.52
  4. Step 4: Simplify right side
    2,882.08x = 9,560,918.02
  5. Step 5: Solve for x
    x = 9,560,918.02/2,882.08
  6. Step 6: Final answer
    x = 3,317.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.