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Finding the Fourth Proportional to 2,018.86, 3,027.93 and 538.09

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Solution

The fourth proportional to 2,018.86, 3,027.93 and 538.09 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.86 : 3,027.93 = 538.09 : x
  2. Step 2: Convert to fraction form
    2,018.86/3,027.93 = 538.09/x
  3. Step 3: Cross multiply
    2,018.86x = 3,027.93 × 538.09
  4. Step 4: Simplify right side
    2,018.86x = 1,629,298.85
  5. Step 5: Solve for x
    x = 1,629,298.85/2,018.86
  6. Step 6: Final answer
    x = 807.04

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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.