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Finding the Fourth Proportional to 2,196.97, 3,295.49 and 810.63

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Solution

The fourth proportional to 2,196.97, 3,295.49 and 810.63 is: 1,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.97 : 3,295.49 = 810.63 : x
  2. Step 2: Convert to fraction form
    2,196.97/3,295.49 = 810.63/x
  3. Step 3: Cross multiply
    2,196.97x = 3,295.49 × 810.63
  4. Step 4: Simplify right side
    2,196.97x = 2,671,419.01
  5. Step 5: Solve for x
    x = 2,671,419.01/2,196.97
  6. Step 6: Final answer
    x = 1,215.96

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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.