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Finding the Fourth Proportional to 1,976.43, 2,728.37 and 1,269.30

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Solution

The fourth proportional to 1,976.43, 2,728.37 and 1,269.30 is: 1,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.43 : 2,728.37 = 1,269.30 : x
  2. Step 2: Convert to fraction form
    1,976.43/2,728.37 = 1,269.30/x
  3. Step 3: Cross multiply
    1,976.43x = 2,728.37 × 1,269.30
  4. Step 4: Simplify right side
    1,976.43x = 3,463,113.69
  5. Step 5: Solve for x
    x = 3,463,113.69/1,976.43
  6. Step 6: Final answer
    x = 1,752.21

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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.