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Finding the Fourth Proportional to 1,942.94, 2,912.43 and 773.77

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Solution

The fourth proportional to 1,942.94, 2,912.43 and 773.77 is: 1,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.94 : 2,912.43 = 773.77 : x
  2. Step 2: Convert to fraction form
    1,942.94/2,912.43 = 773.77/x
  3. Step 3: Cross multiply
    1,942.94x = 2,912.43 × 773.77
  4. Step 4: Simplify right side
    1,942.94x = 2,253,536.40
  5. Step 5: Solve for x
    x = 2,253,536.40/1,942.94
  6. Step 6: Final answer
    x = 1,159.86

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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.