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Finding the Fourth Proportional to 2,018.06, 3,027.43 and 701.91

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Solution

The fourth proportional to 2,018.06, 3,027.43 and 701.91 is: 1,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.06 : 3,027.43 = 701.91 : x
  2. Step 2: Convert to fraction form
    2,018.06/3,027.43 = 701.91/x
  3. Step 3: Cross multiply
    2,018.06x = 3,027.43 × 701.91
  4. Step 4: Simplify right side
    2,018.06x = 2,124,984.27
  5. Step 5: Solve for x
    x = 2,124,984.27/2,018.06
  6. Step 6: Final answer
    x = 1,052.98

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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.