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Finding the Fourth Proportional to 2,096.32, 3,144.24 and 709.66

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Solution

The fourth proportional to 2,096.32, 3,144.24 and 709.66 is: 1,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.32 : 3,144.24 = 709.66 : x
  2. Step 2: Convert to fraction form
    2,096.32/3,144.24 = 709.66/x
  3. Step 3: Cross multiply
    2,096.32x = 3,144.24 × 709.66
  4. Step 4: Simplify right side
    2,096.32x = 2,231,341.36
  5. Step 5: Solve for x
    x = 2,231,341.36/2,096.32
  6. Step 6: Final answer
    x = 1,064.41

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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.