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Finding the Fourth Proportional to 2,608.18, 3,907.05 and 1,567.62

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Solution

The fourth proportional to 2,608.18, 3,907.05 and 1,567.62 is: 2,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.18 : 3,907.05 = 1,567.62 : x
  2. Step 2: Convert to fraction form
    2,608.18/3,907.05 = 1,567.62/x
  3. Step 3: Cross multiply
    2,608.18x = 3,907.05 × 1,567.62
  4. Step 4: Simplify right side
    2,608.18x = 6,124,760.95
  5. Step 5: Solve for x
    x = 6,124,760.95/2,608.18
  6. Step 6: Final answer
    x = 2,348.29

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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.