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Finding the Fourth Proportional to 1,422.11, 1,963.73 and 891.89

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Solution

The fourth proportional to 1,422.11, 1,963.73 and 891.89 is: 1,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.11 : 1,963.73 = 891.89 : x
  2. Step 2: Convert to fraction form
    1,422.11/1,963.73 = 891.89/x
  3. Step 3: Cross multiply
    1,422.11x = 1,963.73 × 891.89
  4. Step 4: Simplify right side
    1,422.11x = 1,751,422.23
  5. Step 5: Solve for x
    x = 1,751,422.23/1,422.11
  6. Step 6: Final answer
    x = 1,231.56

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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.