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Finding the Fourth Proportional to 2,021.44, 3,033.12 and 925.24

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Solution

The fourth proportional to 2,021.44, 3,033.12 and 925.24 is: 1,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.44 : 3,033.12 = 925.24 : x
  2. Step 2: Convert to fraction form
    2,021.44/3,033.12 = 925.24/x
  3. Step 3: Cross multiply
    2,021.44x = 3,033.12 × 925.24
  4. Step 4: Simplify right side
    2,021.44x = 2,806,363.95
  5. Step 5: Solve for x
    x = 2,806,363.95/2,021.44
  6. Step 6: Final answer
    x = 1,388.30

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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.