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Finding the Fourth Proportional to 2,685.73, 4,028.58 and 836.95

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Solution

The fourth proportional to 2,685.73, 4,028.58 and 836.95 is: 1,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.73 : 4,028.58 = 836.95 : x
  2. Step 2: Convert to fraction form
    2,685.73/4,028.58 = 836.95/x
  3. Step 3: Cross multiply
    2,685.73x = 4,028.58 × 836.95
  4. Step 4: Simplify right side
    2,685.73x = 3,371,720.03
  5. Step 5: Solve for x
    x = 3,371,720.03/2,685.73
  6. Step 6: Final answer
    x = 1,255.42

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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.