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Finding the Fourth Proportional to 2,754.02, 4,131.05 and 674.04

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Solution

The fourth proportional to 2,754.02, 4,131.05 and 674.04 is: 1,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.02 : 4,131.05 = 674.04 : x
  2. Step 2: Convert to fraction form
    2,754.02/4,131.05 = 674.04/x
  3. Step 3: Cross multiply
    2,754.02x = 4,131.05 × 674.04
  4. Step 4: Simplify right side
    2,754.02x = 2,784,489.57
  5. Step 5: Solve for x
    x = 2,784,489.57/2,754.02
  6. Step 6: Final answer
    x = 1,011.06

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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.