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Finding the Fourth Proportional to 2,018.78, 3,027.76 and 558.01

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Solution

The fourth proportional to 2,018.78, 3,027.76 and 558.01 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.78 : 3,027.76 = 558.01 : x
  2. Step 2: Convert to fraction form
    2,018.78/3,027.76 = 558.01/x
  3. Step 3: Cross multiply
    2,018.78x = 3,027.76 × 558.01
  4. Step 4: Simplify right side
    2,018.78x = 1,689,502.43
  5. Step 5: Solve for x
    x = 1,689,502.43/2,018.78
  6. Step 6: Final answer
    x = 836.89

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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.