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Finding the Fourth Proportional to 1,849.41, 2,774.12 and 550.85

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Solution

The fourth proportional to 1,849.41, 2,774.12 and 550.85 is: 826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.41 : 2,774.12 = 550.85 : x
  2. Step 2: Convert to fraction form
    1,849.41/2,774.12 = 550.85/x
  3. Step 3: Cross multiply
    1,849.41x = 2,774.12 × 550.85
  4. Step 4: Simplify right side
    1,849.41x = 1,528,107.38
  5. Step 5: Solve for x
    x = 1,528,107.38/1,849.41
  6. Step 6: Final answer
    x = 826.27

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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.