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Finding the Fourth Proportional to 1,992.78, 2,974.10 and 1,940.94

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Solution

The fourth proportional to 1,992.78, 2,974.10 and 1,940.94 is: 2,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.78 : 2,974.10 = 1,940.94 : x
  2. Step 2: Convert to fraction form
    1,992.78/2,974.10 = 1,940.94/x
  3. Step 3: Cross multiply
    1,992.78x = 2,974.10 × 1,940.94
  4. Step 4: Simplify right side
    1,992.78x = 5,772,539.95
  5. Step 5: Solve for x
    x = 5,772,539.95/1,992.78
  6. Step 6: Final answer
    x = 2,896.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.