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Finding the Fourth Proportional to 2,738.43, 3,777.50 and 1,794.38

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Solution

The fourth proportional to 2,738.43, 3,777.50 and 1,794.38 is: 2,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.43 : 3,777.50 = 1,794.38 : x
  2. Step 2: Convert to fraction form
    2,738.43/3,777.50 = 1,794.38/x
  3. Step 3: Cross multiply
    2,738.43x = 3,777.50 × 1,794.38
  4. Step 4: Simplify right side
    2,738.43x = 6,778,256.05
  5. Step 5: Solve for x
    x = 6,778,256.05/2,738.43
  6. Step 6: Final answer
    x = 2,475.23

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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.