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Finding the Fourth Proportional to 2,846.57, 3,927.03 and 1,727.29

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Solution

The fourth proportional to 2,846.57, 3,927.03 and 1,727.29 is: 2,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.57 : 3,927.03 = 1,727.29 : x
  2. Step 2: Convert to fraction form
    2,846.57/3,927.03 = 1,727.29/x
  3. Step 3: Cross multiply
    2,846.57x = 3,927.03 × 1,727.29
  4. Step 4: Simplify right side
    2,846.57x = 6,783,100.01
  5. Step 5: Solve for x
    x = 6,783,100.01/2,846.57
  6. Step 6: Final answer
    x = 2,382.90

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Why These Related Problems?

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