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Finding the Fourth Proportional to 2,933.24, 4,399.70 and 825.01

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Solution

The fourth proportional to 2,933.24, 4,399.70 and 825.01 is: 1,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.24 : 4,399.70 = 825.01 : x
  2. Step 2: Convert to fraction form
    2,933.24/4,399.70 = 825.01/x
  3. Step 3: Cross multiply
    2,933.24x = 4,399.70 × 825.01
  4. Step 4: Simplify right side
    2,933.24x = 3,629,796.50
  5. Step 5: Solve for x
    x = 3,629,796.50/2,933.24
  6. Step 6: Final answer
    x = 1,237.47

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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.