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Finding the Fourth Proportional to 2,843.35, 4,254.88 and 1,966.03

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Solution

The fourth proportional to 2,843.35, 4,254.88 and 1,966.03 is: 2,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.35 : 4,254.88 = 1,966.03 : x
  2. Step 2: Convert to fraction form
    2,843.35/4,254.88 = 1,966.03/x
  3. Step 3: Cross multiply
    2,843.35x = 4,254.88 × 1,966.03
  4. Step 4: Simplify right side
    2,843.35x = 8,365,221.73
  5. Step 5: Solve for x
    x = 8,365,221.73/2,843.35
  6. Step 6: Final answer
    x = 2,942.03

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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.