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Finding the Fourth Proportional to 2,727.94, 4,092.92 and 1,557.22

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Solution

The fourth proportional to 2,727.94, 4,092.92 and 1,557.22 is: 2,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.94 : 4,092.92 = 1,557.22 : x
  2. Step 2: Convert to fraction form
    2,727.94/4,092.92 = 1,557.22/x
  3. Step 3: Cross multiply
    2,727.94x = 4,092.92 × 1,557.22
  4. Step 4: Simplify right side
    2,727.94x = 6,373,576.88
  5. Step 5: Solve for x
    x = 6,373,576.88/2,727.94
  6. Step 6: Final answer
    x = 2,336.41

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Why These Related Problems?

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