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Finding the Fourth Proportional to 2,018.98, 3,027.50 and 1,197.36

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Solution

The fourth proportional to 2,018.98, 3,027.50 and 1,197.36 is: 1,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.98 : 3,027.50 = 1,197.36 : x
  2. Step 2: Convert to fraction form
    2,018.98/3,027.50 = 1,197.36/x
  3. Step 3: Cross multiply
    2,018.98x = 3,027.50 × 1,197.36
  4. Step 4: Simplify right side
    2,018.98x = 3,625,007.40
  5. Step 5: Solve for x
    x = 3,625,007.40/2,018.98
  6. Step 6: Final answer
    x = 1,795.46

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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.