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Finding the Fourth Proportional to 2,170.72, 3,255.74 and 709.86

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Solution

The fourth proportional to 2,170.72, 3,255.74 and 709.86 is: 1,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.72 : 3,255.74 = 709.86 : x
  2. Step 2: Convert to fraction form
    2,170.72/3,255.74 = 709.86/x
  3. Step 3: Cross multiply
    2,170.72x = 3,255.74 × 709.86
  4. Step 4: Simplify right side
    2,170.72x = 2,311,119.60
  5. Step 5: Solve for x
    x = 2,311,119.60/2,170.72
  6. Step 6: Final answer
    x = 1,064.68

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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.