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Finding the Fourth Proportional to 3,185.25, 4,771.38 and 1,951.62

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Solution

The fourth proportional to 3,185.25, 4,771.38 and 1,951.62 is: 2,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.25 : 4,771.38 = 1,951.62 : x
  2. Step 2: Convert to fraction form
    3,185.25/4,771.38 = 1,951.62/x
  3. Step 3: Cross multiply
    3,185.25x = 4,771.38 × 1,951.62
  4. Step 4: Simplify right side
    3,185.25x = 9,311,920.64
  5. Step 5: Solve for x
    x = 9,311,920.64/3,185.25
  6. Step 6: Final answer
    x = 2,923.45

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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.