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Finding the Fourth Proportional to 1,849.10, 2,772.84 and 550.31

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Solution

The fourth proportional to 1,849.10, 2,772.84 and 550.31 is: 825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.10 : 2,772.84 = 550.31 : x
  2. Step 2: Convert to fraction form
    1,849.10/2,772.84 = 550.31/x
  3. Step 3: Cross multiply
    1,849.10x = 2,772.84 × 550.31
  4. Step 4: Simplify right side
    1,849.10x = 1,525,921.58
  5. Step 5: Solve for x
    x = 1,525,921.58/1,849.10
  6. Step 6: Final answer
    x = 825.22

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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.