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Finding the Fourth Proportional to 2,196.79, 3,295.47 and 809.86

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Solution

The fourth proportional to 2,196.79, 3,295.47 and 809.86 is: 1,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.79 : 3,295.47 = 809.86 : x
  2. Step 2: Convert to fraction form
    2,196.79/3,295.47 = 809.86/x
  3. Step 3: Cross multiply
    2,196.79x = 3,295.47 × 809.86
  4. Step 4: Simplify right side
    2,196.79x = 2,668,869.33
  5. Step 5: Solve for x
    x = 2,668,869.33/2,196.79
  6. Step 6: Final answer
    x = 1,214.90

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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.