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Finding the Fourth Proportional to 2,940.72, 4,057.44 and 1,760.96

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Solution

The fourth proportional to 2,940.72, 4,057.44 and 1,760.96 is: 2,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.72 : 4,057.44 = 1,760.96 : x
  2. Step 2: Convert to fraction form
    2,940.72/4,057.44 = 1,760.96/x
  3. Step 3: Cross multiply
    2,940.72x = 4,057.44 × 1,760.96
  4. Step 4: Simplify right side
    2,940.72x = 7,144,989.54
  5. Step 5: Solve for x
    x = 7,144,989.54/2,940.72
  6. Step 6: Final answer
    x = 2,429.67

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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.