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Finding the Fourth Proportional to 1,848.46, 2,772.69 and 550.03

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Solution

The fourth proportional to 1,848.46, 2,772.69 and 550.03 is: 825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.46 : 2,772.69 = 550.03 : x
  2. Step 2: Convert to fraction form
    1,848.46/2,772.69 = 550.03/x
  3. Step 3: Cross multiply
    1,848.46x = 2,772.69 × 550.03
  4. Step 4: Simplify right side
    1,848.46x = 1,525,062.68
  5. Step 5: Solve for x
    x = 1,525,062.68/1,848.46
  6. Step 6: Final answer
    x = 825.05

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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.