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Finding the Fourth Proportional to 2,018.01, 3,027.33 and 923.43

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Solution

The fourth proportional to 2,018.01, 3,027.33 and 923.43 is: 1,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.01 : 3,027.33 = 923.43 : x
  2. Step 2: Convert to fraction form
    2,018.01/3,027.33 = 923.43/x
  3. Step 3: Cross multiply
    2,018.01x = 3,027.33 × 923.43
  4. Step 4: Simplify right side
    2,018.01x = 2,795,527.34
  5. Step 5: Solve for x
    x = 2,795,527.34/2,018.01
  6. Step 6: Final answer
    x = 1,385.29

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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.