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Finding the Fourth Proportional to 1,816.43, 2,720.79 and 1,200.42

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Solution

The fourth proportional to 1,816.43, 2,720.79 and 1,200.42 is: 1,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.43 : 2,720.79 = 1,200.42 : x
  2. Step 2: Convert to fraction form
    1,816.43/2,720.79 = 1,200.42/x
  3. Step 3: Cross multiply
    1,816.43x = 2,720.79 × 1,200.42
  4. Step 4: Simplify right side
    1,816.43x = 3,266,090.73
  5. Step 5: Solve for x
    x = 3,266,090.73/1,816.43
  6. Step 6: Final answer
    x = 1,798.09

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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.