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Finding the Fourth Proportional to 2,754.72, 4,134.81 and 2,145.09

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Solution

The fourth proportional to 2,754.72, 4,134.81 and 2,145.09 is: 3,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.72 : 4,134.81 = 2,145.09 : x
  2. Step 2: Convert to fraction form
    2,754.72/4,134.81 = 2,145.09/x
  3. Step 3: Cross multiply
    2,754.72x = 4,134.81 × 2,145.09
  4. Step 4: Simplify right side
    2,754.72x = 8,869,528.86
  5. Step 5: Solve for x
    x = 8,869,528.86/2,754.72
  6. Step 6: Final answer
    x = 3,219.76

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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.