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Finding the Fourth Proportional to 1,591.73, 2,195.80 and 1,381.62

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Solution

The fourth proportional to 1,591.73, 2,195.80 and 1,381.62 is: 1,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.73 : 2,195.80 = 1,381.62 : x
  2. Step 2: Convert to fraction form
    1,591.73/2,195.80 = 1,381.62/x
  3. Step 3: Cross multiply
    1,591.73x = 2,195.80 × 1,381.62
  4. Step 4: Simplify right side
    1,591.73x = 3,033,757.74
  5. Step 5: Solve for x
    x = 3,033,757.74/1,591.73
  6. Step 6: Final answer
    x = 1,905.96

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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.