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Finding the Fourth Proportional to 1,427.44, 1,969.31 and 896.10

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Solution

The fourth proportional to 1,427.44, 1,969.31 and 896.10 is: 1,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.44 : 1,969.31 = 896.10 : x
  2. Step 2: Convert to fraction form
    1,427.44/1,969.31 = 896.10/x
  3. Step 3: Cross multiply
    1,427.44x = 1,969.31 × 896.10
  4. Step 4: Simplify right side
    1,427.44x = 1,764,693.55
  5. Step 5: Solve for x
    x = 1,764,693.55/1,427.44
  6. Step 6: Final answer
    x = 1,236.27

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Why These Related Problems?

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