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Finding the Fourth Proportional to 2,096.88, 3,143.10 and 709.73

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Solution

The fourth proportional to 2,096.88, 3,143.10 and 709.73 is: 1,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.88 : 3,143.10 = 709.73 : x
  2. Step 2: Convert to fraction form
    2,096.88/3,143.10 = 709.73/x
  3. Step 3: Cross multiply
    2,096.88x = 3,143.10 × 709.73
  4. Step 4: Simplify right side
    2,096.88x = 2,230,736.65
  5. Step 5: Solve for x
    x = 2,230,736.65/2,096.88
  6. Step 6: Final answer
    x = 1,063.84

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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.