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Finding the Fourth Proportional to 2,627.25, 3,941.69 and 895.88

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Solution

The fourth proportional to 2,627.25, 3,941.69 and 895.88 is: 1,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.25 : 3,941.69 = 895.88 : x
  2. Step 2: Convert to fraction form
    2,627.25/3,941.69 = 895.88/x
  3. Step 3: Cross multiply
    2,627.25x = 3,941.69 × 895.88
  4. Step 4: Simplify right side
    2,627.25x = 3,531,257.05
  5. Step 5: Solve for x
    x = 3,531,257.05/2,627.25
  6. Step 6: Final answer
    x = 1,344.09

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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.