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Finding the Fourth Proportional to 2,308.50, 3,177.23 and 1,906.94

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Solution

The fourth proportional to 2,308.50, 3,177.23 and 1,906.94 is: 2,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.50 : 3,177.23 = 1,906.94 : x
  2. Step 2: Convert to fraction form
    2,308.50/3,177.23 = 1,906.94/x
  3. Step 3: Cross multiply
    2,308.50x = 3,177.23 × 1,906.94
  4. Step 4: Simplify right side
    2,308.50x = 6,058,785.38
  5. Step 5: Solve for x
    x = 6,058,785.38/2,308.50
  6. Step 6: Final answer
    x = 2,624.56

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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.