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Finding the Fourth Proportional to 2,183.00, 3,012.50 and 1,188.25

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Solution

The fourth proportional to 2,183.00, 3,012.50 and 1,188.25 is: 1,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.00 : 3,012.50 = 1,188.25 : x
  2. Step 2: Convert to fraction form
    2,183.00/3,012.50 = 1,188.25/x
  3. Step 3: Cross multiply
    2,183.00x = 3,012.50 × 1,188.25
  4. Step 4: Simplify right side
    2,183.00x = 3,579,598.56
  5. Step 5: Solve for x
    x = 3,579,598.56/2,183.00
  6. Step 6: Final answer
    x = 1,639.76

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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.