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Finding the Fourth Proportional to 2,469.69, 3,704.81 and 803.99

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Solution

The fourth proportional to 2,469.69, 3,704.81 and 803.99 is: 1,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.69 : 3,704.81 = 803.99 : x
  2. Step 2: Convert to fraction form
    2,469.69/3,704.81 = 803.99/x
  3. Step 3: Cross multiply
    2,469.69x = 3,704.81 × 803.99
  4. Step 4: Simplify right side
    2,469.69x = 2,978,635.43
  5. Step 5: Solve for x
    x = 2,978,635.43/2,469.69
  6. Step 6: Final answer
    x = 1,206.08

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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.