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Finding the Fourth Proportional to 2,112.69, 3,168.29 and 725.66

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Solution

The fourth proportional to 2,112.69, 3,168.29 and 725.66 is: 1,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.69 : 3,168.29 = 725.66 : x
  2. Step 2: Convert to fraction form
    2,112.69/3,168.29 = 725.66/x
  3. Step 3: Cross multiply
    2,112.69x = 3,168.29 × 725.66
  4. Step 4: Simplify right side
    2,112.69x = 2,299,081.85
  5. Step 5: Solve for x
    x = 2,299,081.85/2,112.69
  6. Step 6: Final answer
    x = 1,088.22

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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.