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Finding the Fourth Proportional to 1,825.97, 2,519.79 and 1,040.27

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Solution

The fourth proportional to 1,825.97, 2,519.79 and 1,040.27 is: 1,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.97 : 2,519.79 = 1,040.27 : x
  2. Step 2: Convert to fraction form
    1,825.97/2,519.79 = 1,040.27/x
  3. Step 3: Cross multiply
    1,825.97x = 2,519.79 × 1,040.27
  4. Step 4: Simplify right side
    1,825.97x = 2,621,261.94
  5. Step 5: Solve for x
    x = 2,621,261.94/1,825.97
  6. Step 6: Final answer
    x = 1,435.54

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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.