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Finding the Fourth Proportional to 2,017.97, 3,027.11 and 557.11

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Solution

The fourth proportional to 2,017.97, 3,027.11 and 557.11 is: 835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.97 : 3,027.11 = 557.11 : x
  2. Step 2: Convert to fraction form
    2,017.97/3,027.11 = 557.11/x
  3. Step 3: Cross multiply
    2,017.97x = 3,027.11 × 557.11
  4. Step 4: Simplify right side
    2,017.97x = 1,686,431.86
  5. Step 5: Solve for x
    x = 1,686,431.86/2,017.97
  6. Step 6: Final answer
    x = 835.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.