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Finding the Fourth Proportional to 1,976.76, 2,727.09 and 1,387.68

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Solution

The fourth proportional to 1,976.76, 2,727.09 and 1,387.68 is: 1,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.76 : 2,727.09 = 1,387.68 : x
  2. Step 2: Convert to fraction form
    1,976.76/2,727.09 = 1,387.68/x
  3. Step 3: Cross multiply
    1,976.76x = 2,727.09 × 1,387.68
  4. Step 4: Simplify right side
    1,976.76x = 3,784,328.25
  5. Step 5: Solve for x
    x = 3,784,328.25/1,976.76
  6. Step 6: Final answer
    x = 1,914.41

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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.