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Finding the Fourth Proportional to 2,194.36, 3,292.36 and 1,270.84

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Solution

The fourth proportional to 2,194.36, 3,292.36 and 1,270.84 is: 1,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.36 : 3,292.36 = 1,270.84 : x
  2. Step 2: Convert to fraction form
    2,194.36/3,292.36 = 1,270.84/x
  3. Step 3: Cross multiply
    2,194.36x = 3,292.36 × 1,270.84
  4. Step 4: Simplify right side
    2,194.36x = 4,184,062.78
  5. Step 5: Solve for x
    x = 4,184,062.78/2,194.36
  6. Step 6: Final answer
    x = 1,906.73

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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.