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Finding the Fourth Proportional to 1,941.70, 2,912.97 and 643.09

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Solution

The fourth proportional to 1,941.70, 2,912.97 and 643.09 is: 964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.70 : 2,912.97 = 643.09 : x
  2. Step 2: Convert to fraction form
    1,941.70/2,912.97 = 643.09/x
  3. Step 3: Cross multiply
    1,941.70x = 2,912.97 × 643.09
  4. Step 4: Simplify right side
    1,941.70x = 1,873,301.88
  5. Step 5: Solve for x
    x = 1,873,301.88/1,941.70
  6. Step 6: Final answer
    x = 964.77

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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.