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Finding the Fourth Proportional to 2,769.69, 4,144.77 and 1,730.18

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Solution

The fourth proportional to 2,769.69, 4,144.77 and 1,730.18 is: 2,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.69 : 4,144.77 = 1,730.18 : x
  2. Step 2: Convert to fraction form
    2,769.69/4,144.77 = 1,730.18/x
  3. Step 3: Cross multiply
    2,769.69x = 4,144.77 × 1,730.18
  4. Step 4: Simplify right side
    2,769.69x = 7,171,207.24
  5. Step 5: Solve for x
    x = 7,171,207.24/2,769.69
  6. Step 6: Final answer
    x = 2,589.17

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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.