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Finding the Fourth Proportional to 2,842.62, 3,922.80 and 1,583.73

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Solution

The fourth proportional to 2,842.62, 3,922.80 and 1,583.73 is: 2,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.62 : 3,922.80 = 1,583.73 : x
  2. Step 2: Convert to fraction form
    2,842.62/3,922.80 = 1,583.73/x
  3. Step 3: Cross multiply
    2,842.62x = 3,922.80 × 1,583.73
  4. Step 4: Simplify right side
    2,842.62x = 6,212,656.04
  5. Step 5: Solve for x
    x = 6,212,656.04/2,842.62
  6. Step 6: Final answer
    x = 2,185.54

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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.