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Finding the Fourth Proportional to 3,078.31, 4,247.00 and 1,867.38

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Solution

The fourth proportional to 3,078.31, 4,247.00 and 1,867.38 is: 2,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.31 : 4,247.00 = 1,867.38 : x
  2. Step 2: Convert to fraction form
    3,078.31/4,247.00 = 1,867.38/x
  3. Step 3: Cross multiply
    3,078.31x = 4,247.00 × 1,867.38
  4. Step 4: Simplify right side
    3,078.31x = 7,930,744.60
  5. Step 5: Solve for x
    x = 7,930,744.60/3,078.31
  6. Step 6: Final answer
    x = 2,576.33

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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.