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Finding the Fourth Proportional to 3,086.70, 4,631.81 and 1,857.12

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Solution

The fourth proportional to 3,086.70, 4,631.81 and 1,857.12 is: 2,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.70 : 4,631.81 = 1,857.12 : x
  2. Step 2: Convert to fraction form
    3,086.70/4,631.81 = 1,857.12/x
  3. Step 3: Cross multiply
    3,086.70x = 4,631.81 × 1,857.12
  4. Step 4: Simplify right side
    3,086.70x = 8,601,817.70
  5. Step 5: Solve for x
    x = 8,601,817.70/3,086.70
  6. Step 6: Final answer
    x = 2,786.74

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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.