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Finding the Fourth Proportional to 2,018.98, 2,786.26 and 1,180.22

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Solution

The fourth proportional to 2,018.98, 2,786.26 and 1,180.22 is: 1,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.98 : 2,786.26 = 1,180.22 : x
  2. Step 2: Convert to fraction form
    2,018.98/2,786.26 = 1,180.22/x
  3. Step 3: Cross multiply
    2,018.98x = 2,786.26 × 1,180.22
  4. Step 4: Simplify right side
    2,018.98x = 3,288,399.78
  5. Step 5: Solve for x
    x = 3,288,399.78/2,018.98
  6. Step 6: Final answer
    x = 1,628.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.