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Finding the Fourth Proportional to 1,627.26, 2,441.25 and 896.46

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Solution

The fourth proportional to 1,627.26, 2,441.25 and 896.46 is: 1,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.26 : 2,441.25 = 896.46 : x
  2. Step 2: Convert to fraction form
    1,627.26/2,441.25 = 896.46/x
  3. Step 3: Cross multiply
    1,627.26x = 2,441.25 × 896.46
  4. Step 4: Simplify right side
    1,627.26x = 2,188,482.98
  5. Step 5: Solve for x
    x = 2,188,482.98/1,627.26
  6. Step 6: Final answer
    x = 1,344.89

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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.