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Finding the Fourth Proportional to 2,183, 3,012.66 and 1,251.80

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Solution

The fourth proportional to 2,183, 3,012.66 and 1,251.80 is: 1,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183 : 3,012.66 = 1,251.80 : x
  2. Step 2: Convert to fraction form
    2,183/3,012.66 = 1,251.80/x
  3. Step 3: Cross multiply
    2,183x = 3,012.66 × 1,251.80
  4. Step 4: Simplify right side
    2,183x = 3,771,247.79
  5. Step 5: Solve for x
    x = 3,771,247.79/2,183
  6. Step 6: Final answer
    x = 1,727.55

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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.