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Finding the Fourth Proportional to 1,589.69, 2,193.72 and 891.06

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Solution

The fourth proportional to 1,589.69, 2,193.72 and 891.06 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.69 : 2,193.72 = 891.06 : x
  2. Step 2: Convert to fraction form
    1,589.69/2,193.72 = 891.06/x
  3. Step 3: Cross multiply
    1,589.69x = 2,193.72 × 891.06
  4. Step 4: Simplify right side
    1,589.69x = 1,954,736.14
  5. Step 5: Solve for x
    x = 1,954,736.14/1,589.69
  6. Step 6: Final answer
    x = 1,229.64

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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.