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Finding the Fourth Proportional to 1,783.01, 2,674.94 and 550.44

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Solution

The fourth proportional to 1,783.01, 2,674.94 and 550.44 is: 825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.01 : 2,674.94 = 550.44 : x
  2. Step 2: Convert to fraction form
    1,783.01/2,674.94 = 550.44/x
  3. Step 3: Cross multiply
    1,783.01x = 2,674.94 × 550.44
  4. Step 4: Simplify right side
    1,783.01x = 1,472,393.97
  5. Step 5: Solve for x
    x = 1,472,393.97/1,783.01
  6. Step 6: Final answer
    x = 825.79

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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.