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Finding the Fourth Proportional to 2,042.97, 3,079.44 and 1,867.68

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Solution

The fourth proportional to 2,042.97, 3,079.44 and 1,867.68 is: 2,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.97 : 3,079.44 = 1,867.68 : x
  2. Step 2: Convert to fraction form
    2,042.97/3,079.44 = 1,867.68/x
  3. Step 3: Cross multiply
    2,042.97x = 3,079.44 × 1,867.68
  4. Step 4: Simplify right side
    2,042.97x = 5,751,408.50
  5. Step 5: Solve for x
    x = 5,751,408.50/2,042.97
  6. Step 6: Final answer
    x = 2,815.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.