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Finding the Fourth Proportional to 2,833.52, 3,907.85 and 2,243.03

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Solution

The fourth proportional to 2,833.52, 3,907.85 and 2,243.03 is: 3,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.52 : 3,907.85 = 2,243.03 : x
  2. Step 2: Convert to fraction form
    2,833.52/3,907.85 = 2,243.03/x
  3. Step 3: Cross multiply
    2,833.52x = 3,907.85 × 2,243.03
  4. Step 4: Simplify right side
    2,833.52x = 8,765,394.03
  5. Step 5: Solve for x
    x = 8,765,394.03/2,833.52
  6. Step 6: Final answer
    x = 3,093.47

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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.