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Finding the Fourth Proportional to 3,040.49, 4,560.74 and 849.27

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Solution

The fourth proportional to 3,040.49, 4,560.74 and 849.27 is: 1,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.49 : 4,560.74 = 849.27 : x
  2. Step 2: Convert to fraction form
    3,040.49/4,560.74 = 849.27/x
  3. Step 3: Cross multiply
    3,040.49x = 4,560.74 × 849.27
  4. Step 4: Simplify right side
    3,040.49x = 3,873,295.41
  5. Step 5: Solve for x
    x = 3,873,295.41/3,040.49
  6. Step 6: Final answer
    x = 1,273.91

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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.