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Finding the Fourth Proportional to 2,816.80, 4,224.71 and 842.37

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Solution

The fourth proportional to 2,816.80, 4,224.71 and 842.37 is: 1,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.80 : 4,224.71 = 842.37 : x
  2. Step 2: Convert to fraction form
    2,816.80/4,224.71 = 842.37/x
  3. Step 3: Cross multiply
    2,816.80x = 4,224.71 × 842.37
  4. Step 4: Simplify right side
    2,816.80x = 3,558,786.13
  5. Step 5: Solve for x
    x = 3,558,786.13/2,816.80
  6. Step 6: Final answer
    x = 1,263.41

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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.