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Finding the Fourth Proportional to 2,196.71, 3,295.31 and 809.68

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Solution

The fourth proportional to 2,196.71, 3,295.31 and 809.68 is: 1,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.71 : 3,295.31 = 809.68 : x
  2. Step 2: Convert to fraction form
    2,196.71/3,295.31 = 809.68/x
  3. Step 3: Cross multiply
    2,196.71x = 3,295.31 × 809.68
  4. Step 4: Simplify right side
    2,196.71x = 2,668,146.60
  5. Step 5: Solve for x
    x = 2,668,146.60/2,196.71
  6. Step 6: Final answer
    x = 1,214.61

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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.