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Finding the Fourth Proportional to 1,518.99, 2,096.09 and 889.43

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Solution

The fourth proportional to 1,518.99, 2,096.09 and 889.43 is: 1,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.99 : 2,096.09 = 889.43 : x
  2. Step 2: Convert to fraction form
    1,518.99/2,096.09 = 889.43/x
  3. Step 3: Cross multiply
    1,518.99x = 2,096.09 × 889.43
  4. Step 4: Simplify right side
    1,518.99x = 1,864,320.88
  5. Step 5: Solve for x
    x = 1,864,320.88/1,518.99
  6. Step 6: Final answer
    x = 1,227.34

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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.