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Finding the Fourth Proportional to 1,976.90, 2,727.42 and 1,191.20

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Solution

The fourth proportional to 1,976.90, 2,727.42 and 1,191.20 is: 1,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.90 : 2,727.42 = 1,191.20 : x
  2. Step 2: Convert to fraction form
    1,976.90/2,727.42 = 1,191.20/x
  3. Step 3: Cross multiply
    1,976.90x = 2,727.42 × 1,191.20
  4. Step 4: Simplify right side
    1,976.90x = 3,248,902.70
  5. Step 5: Solve for x
    x = 3,248,902.70/1,976.90
  6. Step 6: Final answer
    x = 1,643.43

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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.