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Finding the Fourth Proportional to 2,112.61, 3,168.54 and 573.25

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Solution

The fourth proportional to 2,112.61, 3,168.54 and 573.25 is: 859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.61 : 3,168.54 = 573.25 : x
  2. Step 2: Convert to fraction form
    2,112.61/3,168.54 = 573.25/x
  3. Step 3: Cross multiply
    2,112.61x = 3,168.54 × 573.25
  4. Step 4: Simplify right side
    2,112.61x = 1,816,365.56
  5. Step 5: Solve for x
    x = 1,816,365.56/2,112.61
  6. Step 6: Final answer
    x = 859.77

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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.