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Finding the Fourth Proportional to 2,196.45, 3,295.96 and 810.75

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Solution

The fourth proportional to 2,196.45, 3,295.96 and 810.75 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.45 : 3,295.96 = 810.75 : x
  2. Step 2: Convert to fraction form
    2,196.45/3,295.96 = 810.75/x
  3. Step 3: Cross multiply
    2,196.45x = 3,295.96 × 810.75
  4. Step 4: Simplify right side
    2,196.45x = 2,672,179.04
  5. Step 5: Solve for x
    x = 2,672,179.04/2,196.45
  6. Step 6: Final answer
    x = 1,216.59

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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.