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Finding the Fourth Proportional to 2,627.71, 3,942.15 and 896.32

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Solution

The fourth proportional to 2,627.71, 3,942.15 and 896.32 is: 1,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.71 : 3,942.15 = 896.32 : x
  2. Step 2: Convert to fraction form
    2,627.71/3,942.15 = 896.32/x
  3. Step 3: Cross multiply
    2,627.71x = 3,942.15 × 896.32
  4. Step 4: Simplify right side
    2,627.71x = 3,533,427.89
  5. Step 5: Solve for x
    x = 3,533,427.89/2,627.71
  6. Step 6: Final answer
    x = 1,344.68

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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.