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Finding the Fourth Proportional to 2,608.60, 3,914.46 and 966.30

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Solution

The fourth proportional to 2,608.60, 3,914.46 and 966.30 is: 1,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.60 : 3,914.46 = 966.30 : x
  2. Step 2: Convert to fraction form
    2,608.60/3,914.46 = 966.30/x
  3. Step 3: Cross multiply
    2,608.60x = 3,914.46 × 966.30
  4. Step 4: Simplify right side
    2,608.60x = 3,782,542.70
  5. Step 5: Solve for x
    x = 3,782,542.70/2,608.60
  6. Step 6: Final answer
    x = 1,450.03

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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.