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Finding the Fourth Proportional to 2,106.52, 3,157.94 and 789.38

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Solution

The fourth proportional to 2,106.52, 3,157.94 and 789.38 is: 1,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.52 : 3,157.94 = 789.38 : x
  2. Step 2: Convert to fraction form
    2,106.52/3,157.94 = 789.38/x
  3. Step 3: Cross multiply
    2,106.52x = 3,157.94 × 789.38
  4. Step 4: Simplify right side
    2,106.52x = 2,492,814.68
  5. Step 5: Solve for x
    x = 2,492,814.68/2,106.52
  6. Step 6: Final answer
    x = 1,183.38

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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.