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Finding the Fourth Proportional to 2,018.72, 3,027.83 and 538.05

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Solution

The fourth proportional to 2,018.72, 3,027.83 and 538.05 is: 807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.72 : 3,027.83 = 538.05 : x
  2. Step 2: Convert to fraction form
    2,018.72/3,027.83 = 538.05/x
  3. Step 3: Cross multiply
    2,018.72x = 3,027.83 × 538.05
  4. Step 4: Simplify right side
    2,018.72x = 1,629,121.24
  5. Step 5: Solve for x
    x = 1,629,121.24/2,018.72
  6. Step 6: Final answer
    x = 807.01

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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.