Home / 2,738.50-4,107.75-1,095.78

Finding the Fourth Proportional to 2,738.50, 4,107.75 and 1,095.78

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Solution

The fourth proportional to 2,738.50, 4,107.75 and 1,095.78 is: 1,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.50 : 4,107.75 = 1,095.78 : x
  2. Step 2: Convert to fraction form
    2,738.50/4,107.75 = 1,095.78/x
  3. Step 3: Cross multiply
    2,738.50x = 4,107.75 × 1,095.78
  4. Step 4: Simplify right side
    2,738.50x = 4,501,190.30
  5. Step 5: Solve for x
    x = 4,501,190.30/2,738.50
  6. Step 6: Final answer
    x = 1,643.67

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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.