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Finding the Fourth Proportional to 1,891.15, 2,837.43 and 850.84

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Solution

The fourth proportional to 1,891.15, 2,837.43 and 850.84 is: 1,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.15 : 2,837.43 = 850.84 : x
  2. Step 2: Convert to fraction form
    1,891.15/2,837.43 = 850.84/x
  3. Step 3: Cross multiply
    1,891.15x = 2,837.43 × 850.84
  4. Step 4: Simplify right side
    1,891.15x = 2,414,191.85
  5. Step 5: Solve for x
    x = 2,414,191.85/1,891.15
  6. Step 6: Final answer
    x = 1,276.58

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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.