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Finding the Fourth Proportional to 1,996.40, 2,751.60 and 1,622

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Solution

The fourth proportional to 1,996.40, 2,751.60 and 1,622 is: 2,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.40 : 2,751.60 = 1,622 : x
  2. Step 2: Convert to fraction form
    1,996.40/2,751.60 = 1,622/x
  3. Step 3: Cross multiply
    1,996.40x = 2,751.60 × 1,622
  4. Step 4: Simplify right side
    1,996.40x = 4,463,095.20
  5. Step 5: Solve for x
    x = 4,463,095.20/1,996.40
  6. Step 6: Final answer
    x = 2,235.57

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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.