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Finding the Fourth Proportional to 2,685.25, 4,028.18 and 836.83

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Solution

The fourth proportional to 2,685.25, 4,028.18 and 836.83 is: 1,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.25 : 4,028.18 = 836.83 : x
  2. Step 2: Convert to fraction form
    2,685.25/4,028.18 = 836.83/x
  3. Step 3: Cross multiply
    2,685.25x = 4,028.18 × 836.83
  4. Step 4: Simplify right side
    2,685.25x = 3,370,907.43
  5. Step 5: Solve for x
    x = 3,370,907.43/2,685.25
  6. Step 6: Final answer
    x = 1,255.34

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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.