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Finding the Fourth Proportional to 1,553.87, 2,144.46 and 890.75

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Solution

The fourth proportional to 1,553.87, 2,144.46 and 890.75 is: 1,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.87 : 2,144.46 = 890.75 : x
  2. Step 2: Convert to fraction form
    1,553.87/2,144.46 = 890.75/x
  3. Step 3: Cross multiply
    1,553.87x = 2,144.46 × 890.75
  4. Step 4: Simplify right side
    1,553.87x = 1,910,167.02
  5. Step 5: Solve for x
    x = 1,910,167.02/1,553.87
  6. Step 6: Final answer
    x = 1,229.30

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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.