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Finding the Fourth Proportional to 2,685.42, 4,028.83 and 836.56

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Solution

The fourth proportional to 2,685.42, 4,028.83 and 836.56 is: 1,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.42 : 4,028.83 = 836.56 : x
  2. Step 2: Convert to fraction form
    2,685.42/4,028.83 = 836.56/x
  3. Step 3: Cross multiply
    2,685.42x = 4,028.83 × 836.56
  4. Step 4: Simplify right side
    2,685.42x = 3,370,363.91
  5. Step 5: Solve for x
    x = 3,370,363.91/2,685.42
  6. Step 6: Final answer
    x = 1,255.06

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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.