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Finding the Fourth Proportional to 2,018.44, 3,027.16 and 557.52

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Solution

The fourth proportional to 2,018.44, 3,027.16 and 557.52 is: 836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.44 : 3,027.16 = 557.52 : x
  2. Step 2: Convert to fraction form
    2,018.44/3,027.16 = 557.52/x
  3. Step 3: Cross multiply
    2,018.44x = 3,027.16 × 557.52
  4. Step 4: Simplify right side
    2,018.44x = 1,687,702.24
  5. Step 5: Solve for x
    x = 1,687,702.24/2,018.44
  6. Step 6: Final answer
    x = 836.14

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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.