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Finding the Fourth Proportional to 2,624.56, 3,936.89 and 775.71

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Solution

The fourth proportional to 2,624.56, 3,936.89 and 775.71 is: 1,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.56 : 3,936.89 = 775.71 : x
  2. Step 2: Convert to fraction form
    2,624.56/3,936.89 = 775.71/x
  3. Step 3: Cross multiply
    2,624.56x = 3,936.89 × 775.71
  4. Step 4: Simplify right side
    2,624.56x = 3,053,886.88
  5. Step 5: Solve for x
    x = 3,053,886.88/2,624.56
  6. Step 6: Final answer
    x = 1,163.58

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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.