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Finding the Fourth Proportional to 1,589.65, 2,191.63 and 1,091.43

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Solution

The fourth proportional to 1,589.65, 2,191.63 and 1,091.43 is: 1,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.65 : 2,191.63 = 1,091.43 : x
  2. Step 2: Convert to fraction form
    1,589.65/2,191.63 = 1,091.43/x
  3. Step 3: Cross multiply
    1,589.65x = 2,191.63 × 1,091.43
  4. Step 4: Simplify right side
    1,589.65x = 2,392,010.73
  5. Step 5: Solve for x
    x = 2,392,010.73/1,589.65
  6. Step 6: Final answer
    x = 1,504.74

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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.