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Finding the Fourth Proportional to 3,194.42, 4,782.38 and 1,958.09

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Solution

The fourth proportional to 3,194.42, 4,782.38 and 1,958.09 is: 2,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.42 : 4,782.38 = 1,958.09 : x
  2. Step 2: Convert to fraction form
    3,194.42/4,782.38 = 1,958.09/x
  3. Step 3: Cross multiply
    3,194.42x = 4,782.38 × 1,958.09
  4. Step 4: Simplify right side
    3,194.42x = 9,364,296.75
  5. Step 5: Solve for x
    x = 9,364,296.75/3,194.42
  6. Step 6: Final answer
    x = 2,931.46

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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.