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Finding the Fourth Proportional to 2,704.68, 3,728.70 and 2,033.37

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Solution

The fourth proportional to 2,704.68, 3,728.70 and 2,033.37 is: 2,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.68 : 3,728.70 = 2,033.37 : x
  2. Step 2: Convert to fraction form
    2,704.68/3,728.70 = 2,033.37/x
  3. Step 3: Cross multiply
    2,704.68x = 3,728.70 × 2,033.37
  4. Step 4: Simplify right side
    2,704.68x = 7,581,826.72
  5. Step 5: Solve for x
    x = 7,581,826.72/2,704.68
  6. Step 6: Final answer
    x = 2,803.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.