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Finding the Fourth Proportional to 2,685.27, 4,027.86 and 836.37

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Solution

The fourth proportional to 2,685.27, 4,027.86 and 836.37 is: 1,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.27 : 4,027.86 = 836.37 : x
  2. Step 2: Convert to fraction form
    2,685.27/4,027.86 = 836.37/x
  3. Step 3: Cross multiply
    2,685.27x = 4,027.86 × 836.37
  4. Step 4: Simplify right side
    2,685.27x = 3,368,781.27
  5. Step 5: Solve for x
    x = 3,368,781.27/2,685.27
  6. Step 6: Final answer
    x = 1,254.54

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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.