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Finding the Fourth Proportional to 1,849.40, 2,773.69 and 550.56

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Solution

The fourth proportional to 1,849.40, 2,773.69 and 550.56 is: 825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.40 : 2,773.69 = 550.56 : x
  2. Step 2: Convert to fraction form
    1,849.40/2,773.69 = 550.56/x
  3. Step 3: Cross multiply
    1,849.40x = 2,773.69 × 550.56
  4. Step 4: Simplify right side
    1,849.40x = 1,527,089.70
  5. Step 5: Solve for x
    x = 1,527,089.70/1,849.40
  6. Step 6: Final answer
    x = 825.72

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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.