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Finding the Fourth Proportional to 2,790.22, 3,849.62 and 2,083.08

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Solution

The fourth proportional to 2,790.22, 3,849.62 and 2,083.08 is: 2,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.22 : 3,849.62 = 2,083.08 : x
  2. Step 2: Convert to fraction form
    2,790.22/3,849.62 = 2,083.08/x
  3. Step 3: Cross multiply
    2,790.22x = 3,849.62 × 2,083.08
  4. Step 4: Simplify right side
    2,790.22x = 8,019,066.43
  5. Step 5: Solve for x
    x = 8,019,066.43/2,790.22
  6. Step 6: Final answer
    x = 2,873.99

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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.