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Finding the Fourth Proportional to 2,967.31, 4,450.65 and 1,067.46

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Solution

The fourth proportional to 2,967.31, 4,450.65 and 1,067.46 is: 1,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.31 : 4,450.65 = 1,067.46 : x
  2. Step 2: Convert to fraction form
    2,967.31/4,450.65 = 1,067.46/x
  3. Step 3: Cross multiply
    2,967.31x = 4,450.65 × 1,067.46
  4. Step 4: Simplify right side
    2,967.31x = 4,750,890.85
  5. Step 5: Solve for x
    x = 4,750,890.85/2,967.31
  6. Step 6: Final answer
    x = 1,601.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.