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Finding the Fourth Proportional to 1,427.41, 1,969.27 and 896.07

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Solution

The fourth proportional to 1,427.41, 1,969.27 and 896.07 is: 1,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.41 : 1,969.27 = 896.07 : x
  2. Step 2: Convert to fraction form
    1,427.41/1,969.27 = 896.07/x
  3. Step 3: Cross multiply
    1,427.41x = 1,969.27 × 896.07
  4. Step 4: Simplify right side
    1,427.41x = 1,764,608.91
  5. Step 5: Solve for x
    x = 1,764,608.91/1,427.41
  6. Step 6: Final answer
    x = 1,236.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.