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Finding the Fourth Proportional to 1,600.30, 2,208.24 and 892.09

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Solution

The fourth proportional to 1,600.30, 2,208.24 and 892.09 is: 1,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.30 : 2,208.24 = 892.09 : x
  2. Step 2: Convert to fraction form
    1,600.30/2,208.24 = 892.09/x
  3. Step 3: Cross multiply
    1,600.30x = 2,208.24 × 892.09
  4. Step 4: Simplify right side
    1,600.30x = 1,969,959.05
  5. Step 5: Solve for x
    x = 1,969,959.05/1,600.30
  6. Step 6: Final answer
    x = 1,230.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.