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Finding the Fourth Proportional to 2,018.78, 3,028.14 and 557.90

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Solution

The fourth proportional to 2,018.78, 3,028.14 and 557.90 is: 836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.78 : 3,028.14 = 557.90 : x
  2. Step 2: Convert to fraction form
    2,018.78/3,028.14 = 557.90/x
  3. Step 3: Cross multiply
    2,018.78x = 3,028.14 × 557.90
  4. Step 4: Simplify right side
    2,018.78x = 1,689,399.31
  5. Step 5: Solve for x
    x = 1,689,399.31/2,018.78
  6. Step 6: Final answer
    x = 836.84

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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.