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Finding the Fourth Proportional to 2,183.56, 3,273.80 and 1,012.90

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Solution

The fourth proportional to 2,183.56, 3,273.80 and 1,012.90 is: 1,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.56 : 3,273.80 = 1,012.90 : x
  2. Step 2: Convert to fraction form
    2,183.56/3,273.80 = 1,012.90/x
  3. Step 3: Cross multiply
    2,183.56x = 3,273.80 × 1,012.90
  4. Step 4: Simplify right side
    2,183.56x = 3,316,032.02
  5. Step 5: Solve for x
    x = 3,316,032.02/2,183.56
  6. Step 6: Final answer
    x = 1,518.64

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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.