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Finding the Fourth Proportional to 2,842.08, 3,920.97 and 1,722.27

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Solution

The fourth proportional to 2,842.08, 3,920.97 and 1,722.27 is: 2,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.08 : 3,920.97 = 1,722.27 : x
  2. Step 2: Convert to fraction form
    2,842.08/3,920.97 = 1,722.27/x
  3. Step 3: Cross multiply
    2,842.08x = 3,920.97 × 1,722.27
  4. Step 4: Simplify right side
    2,842.08x = 6,752,969.00
  5. Step 5: Solve for x
    x = 6,752,969.00/2,842.08
  6. Step 6: Final answer
    x = 2,376.07

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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.