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Finding the Fourth Proportional to 1,941.21, 2,912.72 and 967.41

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Solution

The fourth proportional to 1,941.21, 2,912.72 and 967.41 is: 1,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.21 : 2,912.72 = 967.41 : x
  2. Step 2: Convert to fraction form
    1,941.21/2,912.72 = 967.41/x
  3. Step 3: Cross multiply
    1,941.21x = 2,912.72 × 967.41
  4. Step 4: Simplify right side
    1,941.21x = 2,817,789.62
  5. Step 5: Solve for x
    x = 2,817,789.62/1,941.21
  6. Step 6: Final answer
    x = 1,451.56

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Why These Related Problems?

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