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Finding the Fourth Proportional to 1,610.93, 2,416.29 and 789.26

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Solution

The fourth proportional to 1,610.93, 2,416.29 and 789.26 is: 1,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.93 : 2,416.29 = 789.26 : x
  2. Step 2: Convert to fraction form
    1,610.93/2,416.29 = 789.26/x
  3. Step 3: Cross multiply
    1,610.93x = 2,416.29 × 789.26
  4. Step 4: Simplify right side
    1,610.93x = 1,907,081.05
  5. Step 5: Solve for x
    x = 1,907,081.05/1,610.93
  6. Step 6: Final answer
    x = 1,183.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.