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Finding the Fourth Proportional to 2,976.54, 4,107.20 and 1,717.41

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Solution

The fourth proportional to 2,976.54, 4,107.20 and 1,717.41 is: 2,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.54 : 4,107.20 = 1,717.41 : x
  2. Step 2: Convert to fraction form
    2,976.54/4,107.20 = 1,717.41/x
  3. Step 3: Cross multiply
    2,976.54x = 4,107.20 × 1,717.41
  4. Step 4: Simplify right side
    2,976.54x = 7,053,746.35
  5. Step 5: Solve for x
    x = 7,053,746.35/2,976.54
  6. Step 6: Final answer
    x = 2,369.78

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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.