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Finding the Fourth Proportional to 2,194.94, 3,292.14 and 1,271

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Solution

The fourth proportional to 2,194.94, 3,292.14 and 1,271 is: 1,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.94 : 3,292.14 = 1,271 : x
  2. Step 2: Convert to fraction form
    2,194.94/3,292.14 = 1,271/x
  3. Step 3: Cross multiply
    2,194.94x = 3,292.14 × 1,271
  4. Step 4: Simplify right side
    2,194.94x = 4,184,309.94
  5. Step 5: Solve for x
    x = 4,184,309.94/2,194.94
  6. Step 6: Final answer
    x = 1,906.34

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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.