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Finding the Fourth Proportional to 1,976.60, 2,727.74 and 1,092.40

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Solution

The fourth proportional to 1,976.60, 2,727.74 and 1,092.40 is: 1,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.60 : 2,727.74 = 1,092.40 : x
  2. Step 2: Convert to fraction form
    1,976.60/2,727.74 = 1,092.40/x
  3. Step 3: Cross multiply
    1,976.60x = 2,727.74 × 1,092.40
  4. Step 4: Simplify right side
    1,976.60x = 2,979,783.18
  5. Step 5: Solve for x
    x = 2,979,783.18/1,976.60
  6. Step 6: Final answer
    x = 1,507.53

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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.