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Finding the Fourth Proportional to 2,842.44, 3,920.46 and 1,958.52

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Solution

The fourth proportional to 2,842.44, 3,920.46 and 1,958.52 is: 2,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.44 : 3,920.46 = 1,958.52 : x
  2. Step 2: Convert to fraction form
    2,842.44/3,920.46 = 1,958.52/x
  3. Step 3: Cross multiply
    2,842.44x = 3,920.46 × 1,958.52
  4. Step 4: Simplify right side
    2,842.44x = 7,678,299.32
  5. Step 5: Solve for x
    x = 7,678,299.32/2,842.44
  6. Step 6: Final answer
    x = 2,701.31

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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.