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Finding the Fourth Proportional to 2,647.25, 3,984.18 and 1,992.52

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Solution

The fourth proportional to 2,647.25, 3,984.18 and 1,992.52 is: 2,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.25 : 3,984.18 = 1,992.52 : x
  2. Step 2: Convert to fraction form
    2,647.25/3,984.18 = 1,992.52/x
  3. Step 3: Cross multiply
    2,647.25x = 3,984.18 × 1,992.52
  4. Step 4: Simplify right side
    2,647.25x = 7,938,548.37
  5. Step 5: Solve for x
    x = 7,938,548.37/2,647.25
  6. Step 6: Final answer
    x = 2,998.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.