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Finding the Fourth Proportional to 3,185.73, 4,778.47 and 845.75

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Solution

The fourth proportional to 3,185.73, 4,778.47 and 845.75 is: 1,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.73 : 4,778.47 = 845.75 : x
  2. Step 2: Convert to fraction form
    3,185.73/4,778.47 = 845.75/x
  3. Step 3: Cross multiply
    3,185.73x = 4,778.47 × 845.75
  4. Step 4: Simplify right side
    3,185.73x = 4,041,391.00
  5. Step 5: Solve for x
    x = 4,041,391.00/3,185.73
  6. Step 6: Final answer
    x = 1,268.59

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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.