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Finding the Fourth Proportional to 2,842.90, 3,922.97 and 1,647.68

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Solution

The fourth proportional to 2,842.90, 3,922.97 and 1,647.68 is: 2,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.90 : 3,922.97 = 1,647.68 : x
  2. Step 2: Convert to fraction form
    2,842.90/3,922.97 = 1,647.68/x
  3. Step 3: Cross multiply
    2,842.90x = 3,922.97 × 1,647.68
  4. Step 4: Simplify right side
    2,842.90x = 6,463,771.36
  5. Step 5: Solve for x
    x = 6,463,771.36/2,842.90
  6. Step 6: Final answer
    x = 2,273.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.