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Finding the Fourth Proportional to 2,051.55, 3,079.07 and 819.82

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Solution

The fourth proportional to 2,051.55, 3,079.07 and 819.82 is: 1,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.55 : 3,079.07 = 819.82 : x
  2. Step 2: Convert to fraction form
    2,051.55/3,079.07 = 819.82/x
  3. Step 3: Cross multiply
    2,051.55x = 3,079.07 × 819.82
  4. Step 4: Simplify right side
    2,051.55x = 2,524,283.17
  5. Step 5: Solve for x
    x = 2,524,283.17/2,051.55
  6. Step 6: Final answer
    x = 1,230.43

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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.