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Finding the Fourth Proportional to 2,651.63, 3,975.98 and 1,819.67

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Solution

The fourth proportional to 2,651.63, 3,975.98 and 1,819.67 is: 2,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.63 : 3,975.98 = 1,819.67 : x
  2. Step 2: Convert to fraction form
    2,651.63/3,975.98 = 1,819.67/x
  3. Step 3: Cross multiply
    2,651.63x = 3,975.98 × 1,819.67
  4. Step 4: Simplify right side
    2,651.63x = 7,234,942.55
  5. Step 5: Solve for x
    x = 7,234,942.55/2,651.63
  6. Step 6: Final answer
    x = 2,728.49

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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.