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Finding the Fourth Proportional to 2,608.27, 3,907.14 and 2,021.16

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Solution

The fourth proportional to 2,608.27, 3,907.14 and 2,021.16 is: 3,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.27 : 3,907.14 = 2,021.16 : x
  2. Step 2: Convert to fraction form
    2,608.27/3,907.14 = 2,021.16/x
  3. Step 3: Cross multiply
    2,608.27x = 3,907.14 × 2,021.16
  4. Step 4: Simplify right side
    2,608.27x = 7,896,955.08
  5. Step 5: Solve for x
    x = 7,896,955.08/2,608.27
  6. Step 6: Final answer
    x = 3,027.66

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