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Finding the Fourth Proportional to 3,367.99, 4,647.32 and 2,023.31

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Solution

The fourth proportional to 3,367.99, 4,647.32 and 2,023.31 is: 2,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.99 : 4,647.32 = 2,023.31 : x
  2. Step 2: Convert to fraction form
    3,367.99/4,647.32 = 2,023.31/x
  3. Step 3: Cross multiply
    3,367.99x = 4,647.32 × 2,023.31
  4. Step 4: Simplify right side
    3,367.99x = 9,402,969.03
  5. Step 5: Solve for x
    x = 9,402,969.03/3,367.99
  6. Step 6: Final answer
    x = 2,791.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.