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Finding the Fourth Proportional to 2,738.07, 4,105.80 and 789.75

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Solution

The fourth proportional to 2,738.07, 4,105.80 and 789.75 is: 1,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.07 : 4,105.80 = 789.75 : x
  2. Step 2: Convert to fraction form
    2,738.07/4,105.80 = 789.75/x
  3. Step 3: Cross multiply
    2,738.07x = 4,105.80 × 789.75
  4. Step 4: Simplify right side
    2,738.07x = 3,242,555.55
  5. Step 5: Solve for x
    x = 3,242,555.55/2,738.07
  6. Step 6: Final answer
    x = 1,184.25

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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.