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Finding the Fourth Proportional to 2,134.87, 3,202.37 and 963.61

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Solution

The fourth proportional to 2,134.87, 3,202.37 and 963.61 is: 1,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.87 : 3,202.37 = 963.61 : x
  2. Step 2: Convert to fraction form
    2,134.87/3,202.37 = 963.61/x
  3. Step 3: Cross multiply
    2,134.87x = 3,202.37 × 963.61
  4. Step 4: Simplify right side
    2,134.87x = 3,085,814.93
  5. Step 5: Solve for x
    x = 3,085,814.93/2,134.87
  6. Step 6: Final answer
    x = 1,445.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.