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Finding the Fourth Proportional to 2,096.46, 3,144.48 and 709.74

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Solution

The fourth proportional to 2,096.46, 3,144.48 and 709.74 is: 1,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.46 : 3,144.48 = 709.74 : x
  2. Step 2: Convert to fraction form
    2,096.46/3,144.48 = 709.74/x
  3. Step 3: Cross multiply
    2,096.46x = 3,144.48 × 709.74
  4. Step 4: Simplify right side
    2,096.46x = 2,231,763.24
  5. Step 5: Solve for x
    x = 2,231,763.24/2,096.46
  6. Step 6: Final answer
    x = 1,064.54

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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.