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Finding the Fourth Proportional to 2,767.10, 3,805.52 and 2,200.91

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Solution

The fourth proportional to 2,767.10, 3,805.52 and 2,200.91 is: 3,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.10 : 3,805.52 = 2,200.91 : x
  2. Step 2: Convert to fraction form
    2,767.10/3,805.52 = 2,200.91/x
  3. Step 3: Cross multiply
    2,767.10x = 3,805.52 × 2,200.91
  4. Step 4: Simplify right side
    2,767.10x = 8,375,607.02
  5. Step 5: Solve for x
    x = 8,375,607.02/2,767.10
  6. Step 6: Final answer
    x = 3,026.85

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