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Finding the Fourth Proportional to 2,766.59, 3,796.41 and 2,516.00

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Solution

The fourth proportional to 2,766.59, 3,796.41 and 2,516.00 is: 3,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.59 : 3,796.41 = 2,516.00 : x
  2. Step 2: Convert to fraction form
    2,766.59/3,796.41 = 2,516.00/x
  3. Step 3: Cross multiply
    2,766.59x = 3,796.41 × 2,516.00
  4. Step 4: Simplify right side
    2,766.59x = 9,551,748.58
  5. Step 5: Solve for x
    x = 9,551,748.58/2,766.59
  6. Step 6: Final answer
    x = 3,452.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.