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Finding the Fourth Proportional to 2,608.43, 3,913.54 and 1,147.37

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Solution

The fourth proportional to 2,608.43, 3,913.54 and 1,147.37 is: 1,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.43 : 3,913.54 = 1,147.37 : x
  2. Step 2: Convert to fraction form
    2,608.43/3,913.54 = 1,147.37/x
  3. Step 3: Cross multiply
    2,608.43x = 3,913.54 × 1,147.37
  4. Step 4: Simplify right side
    2,608.43x = 4,490,255.95
  5. Step 5: Solve for x
    x = 4,490,255.95/2,608.43
  6. Step 6: Final answer
    x = 1,721.44

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