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Finding the Fourth Proportional to 1,992.54, 2,751.06 and 1,246.80

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Solution

The fourth proportional to 1,992.54, 2,751.06 and 1,246.80 is: 1,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.54 : 2,751.06 = 1,246.80 : x
  2. Step 2: Convert to fraction form
    1,992.54/2,751.06 = 1,246.80/x
  3. Step 3: Cross multiply
    1,992.54x = 2,751.06 × 1,246.80
  4. Step 4: Simplify right side
    1,992.54x = 3,430,021.61
  5. Step 5: Solve for x
    x = 3,430,021.61/1,992.54
  6. Step 6: Final answer
    x = 1,721.43

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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.