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Finding the Fourth Proportional to 1,414.70, 1,951.36 and 889.82

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Solution

The fourth proportional to 1,414.70, 1,951.36 and 889.82 is: 1,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.70 : 1,951.36 = 889.82 : x
  2. Step 2: Convert to fraction form
    1,414.70/1,951.36 = 889.82/x
  3. Step 3: Cross multiply
    1,414.70x = 1,951.36 × 889.82
  4. Step 4: Simplify right side
    1,414.70x = 1,736,359.16
  5. Step 5: Solve for x
    x = 1,736,359.16/1,414.70
  6. Step 6: Final answer
    x = 1,227.37

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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.