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Finding the Fourth Proportional to 2,040.07, 3,057.93 and 806.95

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Solution

The fourth proportional to 2,040.07, 3,057.93 and 806.95 is: 1,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.07 : 3,057.93 = 806.95 : x
  2. Step 2: Convert to fraction form
    2,040.07/3,057.93 = 806.95/x
  3. Step 3: Cross multiply
    2,040.07x = 3,057.93 × 806.95
  4. Step 4: Simplify right side
    2,040.07x = 2,467,596.61
  5. Step 5: Solve for x
    x = 2,467,596.61/2,040.07
  6. Step 6: Final answer
    x = 1,209.56

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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.