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Finding the Fourth Proportional to 2,768.50, 3,816.07 and 2,021.28

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Solution

The fourth proportional to 2,768.50, 3,816.07 and 2,021.28 is: 2,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.50 : 3,816.07 = 2,021.28 : x
  2. Step 2: Convert to fraction form
    2,768.50/3,816.07 = 2,021.28/x
  3. Step 3: Cross multiply
    2,768.50x = 3,816.07 × 2,021.28
  4. Step 4: Simplify right side
    2,768.50x = 7,713,345.97
  5. Step 5: Solve for x
    x = 7,713,345.97/2,768.50
  6. Step 6: Final answer
    x = 2,786.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.