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Finding the Fourth Proportional to 2,112.41, 3,168.61 and 573.41

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Solution

The fourth proportional to 2,112.41, 3,168.61 and 573.41 is: 860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.41 : 3,168.61 = 573.41 : x
  2. Step 2: Convert to fraction form
    2,112.41/3,168.61 = 573.41/x
  3. Step 3: Cross multiply
    2,112.41x = 3,168.61 × 573.41
  4. Step 4: Simplify right side
    2,112.41x = 1,816,900.42
  5. Step 5: Solve for x
    x = 1,816,900.42/2,112.41
  6. Step 6: Final answer
    x = 860.11

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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.