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Finding the Fourth Proportional to 2,195.40, 3,292.24 and 808.32

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Solution

The fourth proportional to 2,195.40, 3,292.24 and 808.32 is: 1,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.40 : 3,292.24 = 808.32 : x
  2. Step 2: Convert to fraction form
    2,195.40/3,292.24 = 808.32/x
  3. Step 3: Cross multiply
    2,195.40x = 3,292.24 × 808.32
  4. Step 4: Simplify right side
    2,195.40x = 2,661,183.44
  5. Step 5: Solve for x
    x = 2,661,183.44/2,195.40
  6. Step 6: Final answer
    x = 1,212.16

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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.