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Finding the Fourth Proportional to 2,794.94, 4,192.41 and 1,040.33

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Solution

The fourth proportional to 2,794.94, 4,192.41 and 1,040.33 is: 1,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.94 : 4,192.41 = 1,040.33 : x
  2. Step 2: Convert to fraction form
    2,794.94/4,192.41 = 1,040.33/x
  3. Step 3: Cross multiply
    2,794.94x = 4,192.41 × 1,040.33
  4. Step 4: Simplify right side
    2,794.94x = 4,361,468.93
  5. Step 5: Solve for x
    x = 4,361,468.93/2,794.94
  6. Step 6: Final answer
    x = 1,560.49

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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.