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Finding the Fourth Proportional to 2,841.90, 3,920.67 and 2,054.22

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Solution

The fourth proportional to 2,841.90, 3,920.67 and 2,054.22 is: 2,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.90 : 3,920.67 = 2,054.22 : x
  2. Step 2: Convert to fraction form
    2,841.90/3,920.67 = 2,054.22/x
  3. Step 3: Cross multiply
    2,841.90x = 3,920.67 × 2,054.22
  4. Step 4: Simplify right side
    2,841.90x = 8,053,918.73
  5. Step 5: Solve for x
    x = 8,053,918.73/2,841.90
  6. Step 6: Final answer
    x = 2,833.99

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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.