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Finding the Fourth Proportional to 2,751.82, 4,122.92 and 2,292.55

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Solution

The fourth proportional to 2,751.82, 4,122.92 and 2,292.55 is: 3,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.82 : 4,122.92 = 2,292.55 : x
  2. Step 2: Convert to fraction form
    2,751.82/4,122.92 = 2,292.55/x
  3. Step 3: Cross multiply
    2,751.82x = 4,122.92 × 2,292.55
  4. Step 4: Simplify right side
    2,751.82x = 9,451,979.63
  5. Step 5: Solve for x
    x = 9,451,979.63/2,751.82
  6. Step 6: Final answer
    x = 3,434.82

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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.