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Finding the Fourth Proportional to 2,832.78, 4,270.88 and 2,642.20

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Solution

The fourth proportional to 2,832.78, 4,270.88 and 2,642.20 is: 3,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.78 : 4,270.88 = 2,642.20 : x
  2. Step 2: Convert to fraction form
    2,832.78/4,270.88 = 2,642.20/x
  3. Step 3: Cross multiply
    2,832.78x = 4,270.88 × 2,642.20
  4. Step 4: Simplify right side
    2,832.78x = 11,284,519.14
  5. Step 5: Solve for x
    x = 11,284,519.14/2,832.78
  6. Step 6: Final answer
    x = 3,983.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.