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Finding the Fourth Proportional to 2,821.60, 3,896.40 and 1,892.80

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Solution

The fourth proportional to 2,821.60, 3,896.40 and 1,892.80 is: 2,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.60 : 3,896.40 = 1,892.80 : x
  2. Step 2: Convert to fraction form
    2,821.60/3,896.40 = 1,892.80/x
  3. Step 3: Cross multiply
    2,821.60x = 3,896.40 × 1,892.80
  4. Step 4: Simplify right side
    2,821.60x = 7,375,105.92
  5. Step 5: Solve for x
    x = 7,375,105.92/2,821.60
  6. Step 6: Final answer
    x = 2,613.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.