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Finding the Fourth Proportional to 1,833.28, 2,754.24 and 1,493.44

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Solution

The fourth proportional to 1,833.28, 2,754.24 and 1,493.44 is: 2,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.28 : 2,754.24 = 1,493.44 : x
  2. Step 2: Convert to fraction form
    1,833.28/2,754.24 = 1,493.44/x
  3. Step 3: Cross multiply
    1,833.28x = 2,754.24 × 1,493.44
  4. Step 4: Simplify right side
    1,833.28x = 4,113,292.19
  5. Step 5: Solve for x
    x = 4,113,292.19/1,833.28
  6. Step 6: Final answer
    x = 2,243.68

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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.