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Finding the Fourth Proportional to 2,018.38, 3,027.62 and 557.58

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Solution

The fourth proportional to 2,018.38, 3,027.62 and 557.58 is: 836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.38 : 3,027.62 = 557.58 : x
  2. Step 2: Convert to fraction form
    2,018.38/3,027.62 = 557.58/x
  3. Step 3: Cross multiply
    2,018.38x = 3,027.62 × 557.58
  4. Step 4: Simplify right side
    2,018.38x = 1,688,140.36
  5. Step 5: Solve for x
    x = 1,688,140.36/2,018.38
  6. Step 6: Final answer
    x = 836.38

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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.