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Finding the Fourth Proportional to 2,191.87, 3,280.24 and 2,012.05

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Solution

The fourth proportional to 2,191.87, 3,280.24 and 2,012.05 is: 3,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.87 : 3,280.24 = 2,012.05 : x
  2. Step 2: Convert to fraction form
    2,191.87/3,280.24 = 2,012.05/x
  3. Step 3: Cross multiply
    2,191.87x = 3,280.24 × 2,012.05
  4. Step 4: Simplify right side
    2,191.87x = 6,599,993.66
  5. Step 5: Solve for x
    x = 6,599,993.66/2,191.87
  6. Step 6: Final answer
    x = 3,011.13

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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.