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Finding the Fourth Proportional to 2,768.54, 3,837.07 and 2,716.70

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Solution

The fourth proportional to 2,768.54, 3,837.07 and 2,716.70 is: 3,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.54 : 3,837.07 = 2,716.70 : x
  2. Step 2: Convert to fraction form
    2,768.54/3,837.07 = 2,716.70/x
  3. Step 3: Cross multiply
    2,768.54x = 3,837.07 × 2,716.70
  4. Step 4: Simplify right side
    2,768.54x = 10,424,152.28
  5. Step 5: Solve for x
    x = 10,424,152.28/2,768.54
  6. Step 6: Final answer
    x = 3,765.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.