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Finding the Fourth Proportional to 2,704.35, 4,056.26 and 756.57

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Solution

The fourth proportional to 2,704.35, 4,056.26 and 756.57 is: 1,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.35 : 4,056.26 = 756.57 : x
  2. Step 2: Convert to fraction form
    2,704.35/4,056.26 = 756.57/x
  3. Step 3: Cross multiply
    2,704.35x = 4,056.26 × 756.57
  4. Step 4: Simplify right side
    2,704.35x = 3,068,840.85
  5. Step 5: Solve for x
    x = 3,068,840.85/2,704.35
  6. Step 6: Final answer
    x = 1,134.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.