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Finding the Fourth Proportional to 3,211.65, 4,810.83 and 1,891.34

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Solution

The fourth proportional to 3,211.65, 4,810.83 and 1,891.34 is: 2,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.65 : 4,810.83 = 1,891.34 : x
  2. Step 2: Convert to fraction form
    3,211.65/4,810.83 = 1,891.34/x
  3. Step 3: Cross multiply
    3,211.65x = 4,810.83 × 1,891.34
  4. Step 4: Simplify right side
    3,211.65x = 9,098,891.16
  5. Step 5: Solve for x
    x = 9,098,891.16/3,211.65
  6. Step 6: Final answer
    x = 2,833.09

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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.