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Finding the Fourth Proportional to 2,766.25, 3,817.86 and 1,771.48

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Solution

The fourth proportional to 2,766.25, 3,817.86 and 1,771.48 is: 2,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.25 : 3,817.86 = 1,771.48 : x
  2. Step 2: Convert to fraction form
    2,766.25/3,817.86 = 1,771.48/x
  3. Step 3: Cross multiply
    2,766.25x = 3,817.86 × 1,771.48
  4. Step 4: Simplify right side
    2,766.25x = 6,763,243.54
  5. Step 5: Solve for x
    x = 6,763,243.54/2,766.25
  6. Step 6: Final answer
    x = 2,444.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.