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Finding the Fourth Proportional to 1,942.74, 2,679.93 and 1,195.38

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Solution

The fourth proportional to 1,942.74, 2,679.93 and 1,195.38 is: 1,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.74 : 2,679.93 = 1,195.38 : x
  2. Step 2: Convert to fraction form
    1,942.74/2,679.93 = 1,195.38/x
  3. Step 3: Cross multiply
    1,942.74x = 2,679.93 × 1,195.38
  4. Step 4: Simplify right side
    1,942.74x = 3,203,534.72
  5. Step 5: Solve for x
    x = 3,203,534.72/1,942.74
  6. Step 6: Final answer
    x = 1,648.98

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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.