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Finding the Fourth Proportional to 1,974.90, 2,724.96 and 1,189

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Solution

The fourth proportional to 1,974.90, 2,724.96 and 1,189 is: 1,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.90 : 2,724.96 = 1,189 : x
  2. Step 2: Convert to fraction form
    1,974.90/2,724.96 = 1,189/x
  3. Step 3: Cross multiply
    1,974.90x = 2,724.96 × 1,189
  4. Step 4: Simplify right side
    1,974.90x = 3,239,977.44
  5. Step 5: Solve for x
    x = 3,239,977.44/1,974.90
  6. Step 6: Final answer
    x = 1,640.58

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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.