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Finding the Fourth Proportional to 2,754.14, 4,129.23 and 1,292.48

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Solution

The fourth proportional to 2,754.14, 4,129.23 and 1,292.48 is: 1,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.14 : 4,129.23 = 1,292.48 : x
  2. Step 2: Convert to fraction form
    2,754.14/4,129.23 = 1,292.48/x
  3. Step 3: Cross multiply
    2,754.14x = 4,129.23 × 1,292.48
  4. Step 4: Simplify right side
    2,754.14x = 5,336,947.19
  5. Step 5: Solve for x
    x = 5,336,947.19/2,754.14
  6. Step 6: Final answer
    x = 1,937.79

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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.