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Finding the Fourth Proportional to 2,704.66, 4,057.23 and 756.88

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Solution

The fourth proportional to 2,704.66, 4,057.23 and 756.88 is: 1,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.66 : 4,057.23 = 756.88 : x
  2. Step 2: Convert to fraction form
    2,704.66/4,057.23 = 756.88/x
  3. Step 3: Cross multiply
    2,704.66x = 4,057.23 × 756.88
  4. Step 4: Simplify right side
    2,704.66x = 3,070,836.24
  5. Step 5: Solve for x
    x = 3,070,836.24/2,704.66
  6. Step 6: Final answer
    x = 1,135.39

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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.