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Finding the Fourth Proportional to 2,183.64, 3,276.90 and 1,029.48

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Solution

The fourth proportional to 2,183.64, 3,276.90 and 1,029.48 is: 1,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.64 : 3,276.90 = 1,029.48 : x
  2. Step 2: Convert to fraction form
    2,183.64/3,276.90 = 1,029.48/x
  3. Step 3: Cross multiply
    2,183.64x = 3,276.90 × 1,029.48
  4. Step 4: Simplify right side
    2,183.64x = 3,373,503.01
  5. Step 5: Solve for x
    x = 3,373,503.01/2,183.64
  6. Step 6: Final answer
    x = 1,544.90

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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.