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Finding the Fourth Proportional to 2,018.28, 3,027.05 and 557.07

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Solution

The fourth proportional to 2,018.28, 3,027.05 and 557.07 is: 835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.28 : 3,027.05 = 557.07 : x
  2. Step 2: Convert to fraction form
    2,018.28/3,027.05 = 557.07/x
  3. Step 3: Cross multiply
    2,018.28x = 3,027.05 × 557.07
  4. Step 4: Simplify right side
    2,018.28x = 1,686,260.82
  5. Step 5: Solve for x
    x = 1,686,260.82/2,018.28
  6. Step 6: Final answer
    x = 835.50

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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.