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Finding the Fourth Proportional to 1,976.29, 2,727.57 and 1,230.48

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Solution

The fourth proportional to 1,976.29, 2,727.57 and 1,230.48 is: 1,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.29 : 2,727.57 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    1,976.29/2,727.57 = 1,230.48/x
  3. Step 3: Cross multiply
    1,976.29x = 2,727.57 × 1,230.48
  4. Step 4: Simplify right side
    1,976.29x = 3,356,222.20
  5. Step 5: Solve for x
    x = 3,356,222.20/1,976.29
  6. Step 6: Final answer
    x = 1,698.24

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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.