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Finding the Fourth Proportional to 3,191.65, 4,787.09 and 851.83

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Solution

The fourth proportional to 3,191.65, 4,787.09 and 851.83 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.65 : 4,787.09 = 851.83 : x
  2. Step 2: Convert to fraction form
    3,191.65/4,787.09 = 851.83/x
  3. Step 3: Cross multiply
    3,191.65x = 4,787.09 × 851.83
  4. Step 4: Simplify right side
    3,191.65x = 4,077,786.87
  5. Step 5: Solve for x
    x = 4,077,786.87/3,191.65
  6. Step 6: Final answer
    x = 1,277.64

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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.