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Finding the Fourth Proportional to 2,018.37, 3,027.62 and 557.53

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Solution

The fourth proportional to 2,018.37, 3,027.62 and 557.53 is: 836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.37 : 3,027.62 = 557.53 : x
  2. Step 2: Convert to fraction form
    2,018.37/3,027.62 = 557.53/x
  3. Step 3: Cross multiply
    2,018.37x = 3,027.62 × 557.53
  4. Step 4: Simplify right side
    2,018.37x = 1,687,978.62
  5. Step 5: Solve for x
    x = 1,687,978.62/2,018.37
  6. Step 6: Final answer
    x = 836.31

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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.