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Finding the Fourth Proportional to 2,089.12, 3,133.44 and 550.24

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Solution

The fourth proportional to 2,089.12, 3,133.44 and 550.24 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.12 : 3,133.44 = 550.24 : x
  2. Step 2: Convert to fraction form
    2,089.12/3,133.44 = 550.24/x
  3. Step 3: Cross multiply
    2,089.12x = 3,133.44 × 550.24
  4. Step 4: Simplify right side
    2,089.12x = 1,724,144.03
  5. Step 5: Solve for x
    x = 1,724,144.03/2,089.12
  6. Step 6: Final answer
    x = 825.30

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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.