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Finding the Fourth Proportional to 2,096.21, 3,144.33 and 709.86

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Solution

The fourth proportional to 2,096.21, 3,144.33 and 709.86 is: 1,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.21 : 3,144.33 = 709.86 : x
  2. Step 2: Convert to fraction form
    2,096.21/3,144.33 = 709.86/x
  3. Step 3: Cross multiply
    2,096.21x = 3,144.33 × 709.86
  4. Step 4: Simplify right side
    2,096.21x = 2,232,034.09
  5. Step 5: Solve for x
    x = 2,232,034.09/2,096.21
  6. Step 6: Final answer
    x = 1,064.80

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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.