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Finding the Fourth Proportional to 2,846.85, 3,930.20 and 1,967.38

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Solution

The fourth proportional to 2,846.85, 3,930.20 and 1,967.38 is: 2,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.85 : 3,930.20 = 1,967.38 : x
  2. Step 2: Convert to fraction form
    2,846.85/3,930.20 = 1,967.38/x
  3. Step 3: Cross multiply
    2,846.85x = 3,930.20 × 1,967.38
  4. Step 4: Simplify right side
    2,846.85x = 7,732,196.88
  5. Step 5: Solve for x
    x = 7,732,196.88/2,846.85
  6. Step 6: Final answer
    x = 2,716.05

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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.