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Finding the Fourth Proportional to 2,832.12, 4,233 and 2,553.84

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Solution

The fourth proportional to 2,832.12, 4,233 and 2,553.84 is: 3,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.12 : 4,233 = 2,553.84 : x
  2. Step 2: Convert to fraction form
    2,832.12/4,233 = 2,553.84/x
  3. Step 3: Cross multiply
    2,832.12x = 4,233 × 2,553.84
  4. Step 4: Simplify right side
    2,832.12x = 10,810,404.72
  5. Step 5: Solve for x
    x = 10,810,404.72/2,832.12
  6. Step 6: Final answer
    x = 3,817.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.