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Finding the Fourth Proportional to 3,044.82, 4,201.86 and 1,647.57

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Solution

The fourth proportional to 3,044.82, 4,201.86 and 1,647.57 is: 2,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.82 : 4,201.86 = 1,647.57 : x
  2. Step 2: Convert to fraction form
    3,044.82/4,201.86 = 1,647.57/x
  3. Step 3: Cross multiply
    3,044.82x = 4,201.86 × 1,647.57
  4. Step 4: Simplify right side
    3,044.82x = 6,922,858.48
  5. Step 5: Solve for x
    x = 6,922,858.48/3,044.82
  6. Step 6: Final answer
    x = 2,273.65

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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.