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Finding the Fourth Proportional to 1,694.27, 2,535.08 and 1,099.19

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Solution

The fourth proportional to 1,694.27, 2,535.08 and 1,099.19 is: 1,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.27 : 2,535.08 = 1,099.19 : x
  2. Step 2: Convert to fraction form
    1,694.27/2,535.08 = 1,099.19/x
  3. Step 3: Cross multiply
    1,694.27x = 2,535.08 × 1,099.19
  4. Step 4: Simplify right side
    1,694.27x = 2,786,516.41
  5. Step 5: Solve for x
    x = 2,786,516.41/1,694.27
  6. Step 6: Final answer
    x = 1,644.68

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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.