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Finding the Fourth Proportional to 2,832.78, 4,250.13 and 1,793.58

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Solution

The fourth proportional to 2,832.78, 4,250.13 and 1,793.58 is: 2,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.78 : 4,250.13 = 1,793.58 : x
  2. Step 2: Convert to fraction form
    2,832.78/4,250.13 = 1,793.58/x
  3. Step 3: Cross multiply
    2,832.78x = 4,250.13 × 1,793.58
  4. Step 4: Simplify right side
    2,832.78x = 7,622,948.17
  5. Step 5: Solve for x
    x = 7,622,948.17/2,832.78
  6. Step 6: Final answer
    x = 2,690.98

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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.