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Finding the Fourth Proportional to 3,185.73, 4,778.46 and 1,311.39

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Solution

The fourth proportional to 3,185.73, 4,778.46 and 1,311.39 is: 1,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.73 : 4,778.46 = 1,311.39 : x
  2. Step 2: Convert to fraction form
    3,185.73/4,778.46 = 1,311.39/x
  3. Step 3: Cross multiply
    3,185.73x = 4,778.46 × 1,311.39
  4. Step 4: Simplify right side
    3,185.73x = 6,266,424.66
  5. Step 5: Solve for x
    x = 6,266,424.66/3,185.73
  6. Step 6: Final answer
    x = 1,967.03

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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.