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Finding the Fourth Proportional to 2,018.22, 3,027.12 and 701.94

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Solution

The fourth proportional to 2,018.22, 3,027.12 and 701.94 is: 1,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.22 : 3,027.12 = 701.94 : x
  2. Step 2: Convert to fraction form
    2,018.22/3,027.12 = 701.94/x
  3. Step 3: Cross multiply
    2,018.22x = 3,027.12 × 701.94
  4. Step 4: Simplify right side
    2,018.22x = 2,124,856.61
  5. Step 5: Solve for x
    x = 2,124,856.61/2,018.22
  6. Step 6: Final answer
    x = 1,052.84

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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.