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Finding the Fourth Proportional to 2,494.58, 3,741.16 and 850.75

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Solution

The fourth proportional to 2,494.58, 3,741.16 and 850.75 is: 1,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.58 : 3,741.16 = 850.75 : x
  2. Step 2: Convert to fraction form
    2,494.58/3,741.16 = 850.75/x
  3. Step 3: Cross multiply
    2,494.58x = 3,741.16 × 850.75
  4. Step 4: Simplify right side
    2,494.58x = 3,182,791.87
  5. Step 5: Solve for x
    x = 3,182,791.87/2,494.58
  6. Step 6: Final answer
    x = 1,275.88

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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.