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Finding the Fourth Proportional to 2,836.20, 4,254.91 and 861.89

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Solution

The fourth proportional to 2,836.20, 4,254.91 and 861.89 is: 1,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.20 : 4,254.91 = 861.89 : x
  2. Step 2: Convert to fraction form
    2,836.20/4,254.91 = 861.89/x
  3. Step 3: Cross multiply
    2,836.20x = 4,254.91 × 861.89
  4. Step 4: Simplify right side
    2,836.20x = 3,667,272.86
  5. Step 5: Solve for x
    x = 3,667,272.86/2,836.20
  6. Step 6: Final answer
    x = 1,293.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.