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Finding the Fourth Proportional to 2,806.80, 4,212.90 and 2,396.40

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Solution

The fourth proportional to 2,806.80, 4,212.90 and 2,396.40 is: 3,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.80 : 4,212.90 = 2,396.40 : x
  2. Step 2: Convert to fraction form
    2,806.80/4,212.90 = 2,396.40/x
  3. Step 3: Cross multiply
    2,806.80x = 4,212.90 × 2,396.40
  4. Step 4: Simplify right side
    2,806.80x = 10,095,793.56
  5. Step 5: Solve for x
    x = 10,095,793.56/2,806.80
  6. Step 6: Final answer
    x = 3,596.91

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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.