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Finding the Fourth Proportional to 1,974.75, 2,722.56 and 1,443.75

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Solution

The fourth proportional to 1,974.75, 2,722.56 and 1,443.75 is: 1,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.75 : 2,722.56 = 1,443.75 : x
  2. Step 2: Convert to fraction form
    1,974.75/2,722.56 = 1,443.75/x
  3. Step 3: Cross multiply
    1,974.75x = 2,722.56 × 1,443.75
  4. Step 4: Simplify right side
    1,974.75x = 3,930,696
  5. Step 5: Solve for x
    x = 3,930,696/1,974.75
  6. Step 6: Final answer
    x = 1,990.48

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1.5x scale

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.