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Finding the Fourth Proportional to 2,196.58, 3,293.74 and 809.44

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Solution

The fourth proportional to 2,196.58, 3,293.74 and 809.44 is: 1,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.58 : 3,293.74 = 809.44 : x
  2. Step 2: Convert to fraction form
    2,196.58/3,293.74 = 809.44/x
  3. Step 3: Cross multiply
    2,196.58x = 3,293.74 × 809.44
  4. Step 4: Simplify right side
    2,196.58x = 2,666,084.91
  5. Step 5: Solve for x
    x = 2,666,084.91/2,196.58
  6. Step 6: Final answer
    x = 1,213.74

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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.