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Finding the Fourth Proportional to 2,612.60, 3,912.80 and 2,268.75

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Solution

The fourth proportional to 2,612.60, 3,912.80 and 2,268.75 is: 3,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.60 : 3,912.80 = 2,268.75 : x
  2. Step 2: Convert to fraction form
    2,612.60/3,912.80 = 2,268.75/x
  3. Step 3: Cross multiply
    2,612.60x = 3,912.80 × 2,268.75
  4. Step 4: Simplify right side
    2,612.60x = 8,877,153.66
  5. Step 5: Solve for x
    x = 8,877,153.66/2,612.60
  6. Step 6: Final answer
    x = 3,397.83

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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.