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Finding the Fourth Proportional to 3,100.80, 4,644.90 and 1,927.20

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Solution

The fourth proportional to 3,100.80, 4,644.90 and 1,927.20 is: 2,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.80 : 4,644.90 = 1,927.20 : x
  2. Step 2: Convert to fraction form
    3,100.80/4,644.90 = 1,927.20/x
  3. Step 3: Cross multiply
    3,100.80x = 4,644.90 × 1,927.20
  4. Step 4: Simplify right side
    3,100.80x = 8,951,651.28
  5. Step 5: Solve for x
    x = 8,951,651.28/3,100.80
  6. Step 6: Final answer
    x = 2,886.88

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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.