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Finding the Fourth Proportional to 2,494.31, 3,740.85 and 850.82

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Solution

The fourth proportional to 2,494.31, 3,740.85 and 850.82 is: 1,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.31 : 3,740.85 = 850.82 : x
  2. Step 2: Convert to fraction form
    2,494.31/3,740.85 = 850.82/x
  3. Step 3: Cross multiply
    2,494.31x = 3,740.85 × 850.82
  4. Step 4: Simplify right side
    2,494.31x = 3,182,771.29
  5. Step 5: Solve for x
    x = 3,182,771.29/2,494.31
  6. Step 6: Final answer
    x = 1,276.02

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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.