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Finding the Fourth Proportional to 2,194.21, 3,293.01 and 808.40

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Solution

The fourth proportional to 2,194.21, 3,293.01 and 808.40 is: 1,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.21 : 3,293.01 = 808.40 : x
  2. Step 2: Convert to fraction form
    2,194.21/3,293.01 = 808.40/x
  3. Step 3: Cross multiply
    2,194.21x = 3,293.01 × 808.40
  4. Step 4: Simplify right side
    2,194.21x = 2,662,077.52
  5. Step 5: Solve for x
    x = 2,662,077.52/2,194.21
  6. Step 6: Final answer
    x = 1,213.23

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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.