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Finding the Fourth Proportional to 1,519.23, 2,096.49 and 889.68

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Solution

The fourth proportional to 1,519.23, 2,096.49 and 889.68 is: 1,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.23 : 2,096.49 = 889.68 : x
  2. Step 2: Convert to fraction form
    1,519.23/2,096.49 = 889.68/x
  3. Step 3: Cross multiply
    1,519.23x = 2,096.49 × 889.68
  4. Step 4: Simplify right side
    1,519.23x = 1,865,205.22
  5. Step 5: Solve for x
    x = 1,865,205.22/1,519.23
  6. Step 6: Final answer
    x = 1,227.73

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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.