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Finding the Fourth Proportional to 2,112.96, 3,168.66 and 726.03

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Solution

The fourth proportional to 2,112.96, 3,168.66 and 726.03 is: 1,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.96 : 3,168.66 = 726.03 : x
  2. Step 2: Convert to fraction form
    2,112.96/3,168.66 = 726.03/x
  3. Step 3: Cross multiply
    2,112.96x = 3,168.66 × 726.03
  4. Step 4: Simplify right side
    2,112.96x = 2,300,542.22
  5. Step 5: Solve for x
    x = 2,300,542.22/2,112.96
  6. Step 6: Final answer
    x = 1,088.78

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