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Finding the Fourth Proportional to 2,816.53, 4,223.73 and 942.03

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Solution

The fourth proportional to 2,816.53, 4,223.73 and 942.03 is: 1,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.53 : 4,223.73 = 942.03 : x
  2. Step 2: Convert to fraction form
    2,816.53/4,223.73 = 942.03/x
  3. Step 3: Cross multiply
    2,816.53x = 4,223.73 × 942.03
  4. Step 4: Simplify right side
    2,816.53x = 3,978,880.37
  5. Step 5: Solve for x
    x = 3,978,880.37/2,816.53
  6. Step 6: Final answer
    x = 1,412.69

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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.