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Finding the Fourth Proportional to 2,028.44, 3,040.84 and 729

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Solution

The fourth proportional to 2,028.44, 3,040.84 and 729 is: 1,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.44 : 3,040.84 = 729 : x
  2. Step 2: Convert to fraction form
    2,028.44/3,040.84 = 729/x
  3. Step 3: Cross multiply
    2,028.44x = 3,040.84 × 729
  4. Step 4: Simplify right side
    2,028.44x = 2,216,773.27
  5. Step 5: Solve for x
    x = 2,216,773.27/2,028.44
  6. Step 6: Final answer
    x = 1,092.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.