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Finding the Fourth Proportional to 2,195.87, 3,295.11 and 810.18

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Solution

The fourth proportional to 2,195.87, 3,295.11 and 810.18 is: 1,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.87 : 3,295.11 = 810.18 : x
  2. Step 2: Convert to fraction form
    2,195.87/3,295.11 = 810.18/x
  3. Step 3: Cross multiply
    2,195.87x = 3,295.11 × 810.18
  4. Step 4: Simplify right side
    2,195.87x = 2,669,643.56
  5. Step 5: Solve for x
    x = 2,669,643.56/2,195.87
  6. Step 6: Final answer
    x = 1,215.75

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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.