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Finding the Fourth Proportional to 1,960.94, 2,942.22 and 1,037.54

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Solution

The fourth proportional to 1,960.94, 2,942.22 and 1,037.54 is: 1,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.94 : 2,942.22 = 1,037.54 : x
  2. Step 2: Convert to fraction form
    1,960.94/2,942.22 = 1,037.54/x
  3. Step 3: Cross multiply
    1,960.94x = 2,942.22 × 1,037.54
  4. Step 4: Simplify right side
    1,960.94x = 3,052,670.94
  5. Step 5: Solve for x
    x = 3,052,670.94/1,960.94
  6. Step 6: Final answer
    x = 1,556.74

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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.