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Finding the Fourth Proportional to 2,169.89, 3,255.34 and 709.05

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Solution

The fourth proportional to 2,169.89, 3,255.34 and 709.05 is: 1,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.89 : 3,255.34 = 709.05 : x
  2. Step 2: Convert to fraction form
    2,169.89/3,255.34 = 709.05/x
  3. Step 3: Cross multiply
    2,169.89x = 3,255.34 × 709.05
  4. Step 4: Simplify right side
    2,169.89x = 2,308,198.83
  5. Step 5: Solve for x
    x = 2,308,198.83/2,169.89
  6. Step 6: Final answer
    x = 1,063.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.