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Finding the Fourth Proportional to 2,183, 3,270.38 and 1,690.26

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Solution

The fourth proportional to 2,183, 3,270.38 and 1,690.26 is: 2,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183 : 3,270.38 = 1,690.26 : x
  2. Step 2: Convert to fraction form
    2,183/3,270.38 = 1,690.26/x
  3. Step 3: Cross multiply
    2,183x = 3,270.38 × 1,690.26
  4. Step 4: Simplify right side
    2,183x = 5,527,792.50
  5. Step 5: Solve for x
    x = 5,527,792.50/2,183
  6. Step 6: Final answer
    x = 2,532.20

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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.