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Finding the Fourth Proportional to 1,424.40, 1,964.97 and 1,227.57

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Solution

The fourth proportional to 1,424.40, 1,964.97 and 1,227.57 is: 1,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.40 : 1,964.97 = 1,227.57 : x
  2. Step 2: Convert to fraction form
    1,424.40/1,964.97 = 1,227.57/x
  3. Step 3: Cross multiply
    1,424.40x = 1,964.97 × 1,227.57
  4. Step 4: Simplify right side
    1,424.40x = 2,412,138.22
  5. Step 5: Solve for x
    x = 2,412,138.22/1,424.40
  6. Step 6: Final answer
    x = 1,693.44

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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.