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Finding the Fourth Proportional to 3,169.26, 4,373.37 and 1,771.74

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Solution

The fourth proportional to 3,169.26, 4,373.37 and 1,771.74 is: 2,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.26 : 4,373.37 = 1,771.74 : x
  2. Step 2: Convert to fraction form
    3,169.26/4,373.37 = 1,771.74/x
  3. Step 3: Cross multiply
    3,169.26x = 4,373.37 × 1,771.74
  4. Step 4: Simplify right side
    3,169.26x = 7,748,474.56
  5. Step 5: Solve for x
    x = 7,748,474.56/3,169.26
  6. Step 6: Final answer
    x = 2,444.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.