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Finding the Fourth Proportional to 2,608.69, 3,913.19 and 852.92

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Solution

The fourth proportional to 2,608.69, 3,913.19 and 852.92 is: 1,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.69 : 3,913.19 = 852.92 : x
  2. Step 2: Convert to fraction form
    2,608.69/3,913.19 = 852.92/x
  3. Step 3: Cross multiply
    2,608.69x = 3,913.19 × 852.92
  4. Step 4: Simplify right side
    2,608.69x = 3,337,638.01
  5. Step 5: Solve for x
    x = 3,337,638.01/2,608.69
  6. Step 6: Final answer
    x = 1,279.43

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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.