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Finding the Fourth Proportional to 4,512.57, 6,769.19 and 1,739.26

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Solution

The fourth proportional to 4,512.57, 6,769.19 and 1,739.26 is: 2,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.57 : 6,769.19 = 1,739.26 : x
  2. Step 2: Convert to fraction form
    4,512.57/6,769.19 = 1,739.26/x
  3. Step 3: Cross multiply
    4,512.57x = 6,769.19 × 1,739.26
  4. Step 4: Simplify right side
    4,512.57x = 11,773,381.40
  5. Step 5: Solve for x
    x = 11,773,381.40/4,512.57
  6. Step 6: Final answer
    x = 2,609.02

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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.