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Finding the Fourth Proportional to 1,992.78, 2,743.38 and 1,494.59

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Solution

The fourth proportional to 1,992.78, 2,743.38 and 1,494.59 is: 2,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.78 : 2,743.38 = 1,494.59 : x
  2. Step 2: Convert to fraction form
    1,992.78/2,743.38 = 1,494.59/x
  3. Step 3: Cross multiply
    1,992.78x = 2,743.38 × 1,494.59
  4. Step 4: Simplify right side
    1,992.78x = 4,100,214.60
  5. Step 5: Solve for x
    x = 4,100,214.60/1,992.78
  6. Step 6: Final answer
    x = 2,057.54

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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.