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Finding the Fourth Proportional to 2,841, 4,261.74 and 789

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Solution

The fourth proportional to 2,841, 4,261.74 and 789 is: 1,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 4,261.74 = 789 : x
  2. Step 2: Convert to fraction form
    2,841/4,261.74 = 789/x
  3. Step 3: Cross multiply
    2,841x = 4,261.74 × 789
  4. Step 4: Simplify right side
    2,841x = 3,362,512.86
  5. Step 5: Solve for x
    x = 3,362,512.86/2,841
  6. Step 6: Final answer
    x = 1,183.57

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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.