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Finding the Fourth Proportional to 2,196.47, 3,295.68 and 809.48

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Solution

The fourth proportional to 2,196.47, 3,295.68 and 809.48 is: 1,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.47 : 3,295.68 = 809.48 : x
  2. Step 2: Convert to fraction form
    2,196.47/3,295.68 = 809.48/x
  3. Step 3: Cross multiply
    2,196.47x = 3,295.68 × 809.48
  4. Step 4: Simplify right side
    2,196.47x = 2,667,783.00
  5. Step 5: Solve for x
    x = 2,667,783.00/2,196.47
  6. Step 6: Final answer
    x = 1,214.58

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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.