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Finding the Fourth Proportional to 2,624.84, 3,936.72 and 775.46

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Solution

The fourth proportional to 2,624.84, 3,936.72 and 775.46 is: 1,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.84 : 3,936.72 = 775.46 : x
  2. Step 2: Convert to fraction form
    2,624.84/3,936.72 = 775.46/x
  3. Step 3: Cross multiply
    2,624.84x = 3,936.72 × 775.46
  4. Step 4: Simplify right side
    2,624.84x = 3,052,768.89
  5. Step 5: Solve for x
    x = 3,052,768.89/2,624.84
  6. Step 6: Final answer
    x = 1,163.03

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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.