Home / 2,138.10-3,204.45-966.84

Finding the Fourth Proportional to 2,138.10, 3,204.45 and 966.84

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Solution

The fourth proportional to 2,138.10, 3,204.45 and 966.84 is: 1,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.10 : 3,204.45 = 966.84 : x
  2. Step 2: Convert to fraction form
    2,138.10/3,204.45 = 966.84/x
  3. Step 3: Cross multiply
    2,138.10x = 3,204.45 × 966.84
  4. Step 4: Simplify right side
    2,138.10x = 3,098,190.44
  5. Step 5: Solve for x
    x = 3,098,190.44/2,138.10
  6. Step 6: Final answer
    x = 1,449.04

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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.