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Finding the Fourth Proportional to 1,816.60, 2,722.92 and 843.28

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Solution

The fourth proportional to 1,816.60, 2,722.92 and 843.28 is: 1,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.60 : 2,722.92 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,816.60/2,722.92 = 843.28/x
  3. Step 3: Cross multiply
    1,816.60x = 2,722.92 × 843.28
  4. Step 4: Simplify right side
    1,816.60x = 2,296,183.98
  5. Step 5: Solve for x
    x = 2,296,183.98/1,816.60
  6. Step 6: Final answer
    x = 1,264.00

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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.