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Finding the Fourth Proportional to 2,608.38, 3,914.07 and 966.06

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Solution

The fourth proportional to 2,608.38, 3,914.07 and 966.06 is: 1,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.38 : 3,914.07 = 966.06 : x
  2. Step 2: Convert to fraction form
    2,608.38/3,914.07 = 966.06/x
  3. Step 3: Cross multiply
    2,608.38x = 3,914.07 × 966.06
  4. Step 4: Simplify right side
    2,608.38x = 3,781,226.46
  5. Step 5: Solve for x
    x = 3,781,226.46/2,608.38
  6. Step 6: Final answer
    x = 1,449.65

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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.