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Finding the Fourth Proportional to 2,808.56, 4,212.72 and 756.56

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Solution

The fourth proportional to 2,808.56, 4,212.72 and 756.56 is: 1,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.56 : 4,212.72 = 756.56 : x
  2. Step 2: Convert to fraction form
    2,808.56/4,212.72 = 756.56/x
  3. Step 3: Cross multiply
    2,808.56x = 4,212.72 × 756.56
  4. Step 4: Simplify right side
    2,808.56x = 3,187,175.44
  5. Step 5: Solve for x
    x = 3,187,175.44/2,808.56
  6. Step 6: Final answer
    x = 1,134.81

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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.