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Finding the Fourth Proportional to 2,079.68, 3,114.12 and 2,018.12

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Solution

The fourth proportional to 2,079.68, 3,114.12 and 2,018.12 is: 3,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.68 : 3,114.12 = 2,018.12 : x
  2. Step 2: Convert to fraction form
    2,079.68/3,114.12 = 2,018.12/x
  3. Step 3: Cross multiply
    2,079.68x = 3,114.12 × 2,018.12
  4. Step 4: Simplify right side
    2,079.68x = 6,284,667.85
  5. Step 5: Solve for x
    x = 6,284,667.85/2,079.68
  6. Step 6: Final answer
    x = 3,021.94

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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.