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Finding the Fourth Proportional to 2,183.68, 3,012.42 and 1,299.16

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Solution

The fourth proportional to 2,183.68, 3,012.42 and 1,299.16 is: 1,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.68 : 3,012.42 = 1,299.16 : x
  2. Step 2: Convert to fraction form
    2,183.68/3,012.42 = 1,299.16/x
  3. Step 3: Cross multiply
    2,183.68x = 3,012.42 × 1,299.16
  4. Step 4: Simplify right side
    2,183.68x = 3,913,615.57
  5. Step 5: Solve for x
    x = 3,913,615.57/2,183.68
  6. Step 6: Final answer
    x = 1,792.21

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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.