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Finding the Fourth Proportional to 2,766.17, 3,814.75 and 2,059.75

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Solution

The fourth proportional to 2,766.17, 3,814.75 and 2,059.75 is: 2,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.17 : 3,814.75 = 2,059.75 : x
  2. Step 2: Convert to fraction form
    2,766.17/3,814.75 = 2,059.75/x
  3. Step 3: Cross multiply
    2,766.17x = 3,814.75 × 2,059.75
  4. Step 4: Simplify right side
    2,766.17x = 7,857,405.61
  5. Step 5: Solve for x
    x = 7,857,405.61/2,766.17
  6. Step 6: Final answer
    x = 2,840.54

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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.