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Finding the Fourth Proportional to 2,738.43, 3,778.11 and 1,558.67

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Solution

The fourth proportional to 2,738.43, 3,778.11 and 1,558.67 is: 2,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.43 : 3,778.11 = 1,558.67 : x
  2. Step 2: Convert to fraction form
    2,738.43/3,778.11 = 1,558.67/x
  3. Step 3: Cross multiply
    2,738.43x = 3,778.11 × 1,558.67
  4. Step 4: Simplify right side
    2,738.43x = 5,888,807.82
  5. Step 5: Solve for x
    x = 5,888,807.82/2,738.43
  6. Step 6: Final answer
    x = 2,150.43

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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.