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Finding the Fourth Proportional to 2,725.44, 4,084.48 and 1,489.60

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Solution

The fourth proportional to 2,725.44, 4,084.48 and 1,489.60 is: 2,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.44 : 4,084.48 = 1,489.60 : x
  2. Step 2: Convert to fraction form
    2,725.44/4,084.48 = 1,489.60/x
  3. Step 3: Cross multiply
    2,725.44x = 4,084.48 × 1,489.60
  4. Step 4: Simplify right side
    2,725.44x = 6,084,241.41
  5. Step 5: Solve for x
    x = 6,084,241.41/2,725.44
  6. Step 6: Final answer
    x = 2,232.39

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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.