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Finding the Fourth Proportional to 1,976.98, 2,727.44 and 1,190.92

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Solution

The fourth proportional to 1,976.98, 2,727.44 and 1,190.92 is: 1,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.98 : 2,727.44 = 1,190.92 : x
  2. Step 2: Convert to fraction form
    1,976.98/2,727.44 = 1,190.92/x
  3. Step 3: Cross multiply
    1,976.98x = 2,727.44 × 1,190.92
  4. Step 4: Simplify right side
    1,976.98x = 3,248,162.84
  5. Step 5: Solve for x
    x = 3,248,162.84/1,976.98
  6. Step 6: Final answer
    x = 1,642.99

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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.