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Finding the Fourth Proportional to 2,106.61, 3,157.55 and 789.09

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Solution

The fourth proportional to 2,106.61, 3,157.55 and 789.09 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.61 : 3,157.55 = 789.09 : x
  2. Step 2: Convert to fraction form
    2,106.61/3,157.55 = 789.09/x
  3. Step 3: Cross multiply
    2,106.61x = 3,157.55 × 789.09
  4. Step 4: Simplify right side
    2,106.61x = 2,491,593.10
  5. Step 5: Solve for x
    x = 2,491,593.10/2,106.61
  6. Step 6: Final answer
    x = 1,182.75

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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.