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Finding the Fourth Proportional to 2,608.05, 3,906.87 and 1,567.49

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Solution

The fourth proportional to 2,608.05, 3,906.87 and 1,567.49 is: 2,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.05 : 3,906.87 = 1,567.49 : x
  2. Step 2: Convert to fraction form
    2,608.05/3,906.87 = 1,567.49/x
  3. Step 3: Cross multiply
    2,608.05x = 3,906.87 × 1,567.49
  4. Step 4: Simplify right side
    2,608.05x = 6,123,985.50
  5. Step 5: Solve for x
    x = 6,123,985.50/2,608.05
  6. Step 6: Final answer
    x = 2,348.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.