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Finding the Fourth Proportional to 2,754.76, 4,126.29 and 2,166.97

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Solution

The fourth proportional to 2,754.76, 4,126.29 and 2,166.97 is: 3,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.76 : 4,126.29 = 2,166.97 : x
  2. Step 2: Convert to fraction form
    2,754.76/4,126.29 = 2,166.97/x
  3. Step 3: Cross multiply
    2,754.76x = 4,126.29 × 2,166.97
  4. Step 4: Simplify right side
    2,754.76x = 8,941,546.64
  5. Step 5: Solve for x
    x = 8,941,546.64/2,754.76
  6. Step 6: Final answer
    x = 3,245.85

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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.