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Finding the Fourth Proportional to 1,608.45, 2,412.68 and 838.85

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Solution

The fourth proportional to 1,608.45, 2,412.68 and 838.85 is: 1,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.45 : 2,412.68 = 838.85 : x
  2. Step 2: Convert to fraction form
    1,608.45/2,412.68 = 838.85/x
  3. Step 3: Cross multiply
    1,608.45x = 2,412.68 × 838.85
  4. Step 4: Simplify right side
    1,608.45x = 2,023,876.62
  5. Step 5: Solve for x
    x = 2,023,876.62/1,608.45
  6. Step 6: Final answer
    x = 1,258.28

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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.