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Finding the Fourth Proportional to 2,704.27, 4,056.75 and 756.49

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Solution

The fourth proportional to 2,704.27, 4,056.75 and 756.49 is: 1,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.27 : 4,056.75 = 756.49 : x
  2. Step 2: Convert to fraction form
    2,704.27/4,056.75 = 756.49/x
  3. Step 3: Cross multiply
    2,704.27x = 4,056.75 × 756.49
  4. Step 4: Simplify right side
    2,704.27x = 3,068,890.81
  5. Step 5: Solve for x
    x = 3,068,890.81/2,704.27
  6. Step 6: Final answer
    x = 1,134.83

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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.