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Finding the Fourth Proportional to 1,553.78, 2,144.26 and 845.67

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Solution

The fourth proportional to 1,553.78, 2,144.26 and 845.67 is: 1,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.78 : 2,144.26 = 845.67 : x
  2. Step 2: Convert to fraction form
    1,553.78/2,144.26 = 845.67/x
  3. Step 3: Cross multiply
    1,553.78x = 2,144.26 × 845.67
  4. Step 4: Simplify right side
    1,553.78x = 1,813,336.35
  5. Step 5: Solve for x
    x = 1,813,336.35/1,553.78
  6. Step 6: Final answer
    x = 1,167.05

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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.