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Finding the Fourth Proportional to 2,976.84, 4,107.84 and 1,717.80

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Solution

The fourth proportional to 2,976.84, 4,107.84 and 1,717.80 is: 2,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.84 : 4,107.84 = 1,717.80 : x
  2. Step 2: Convert to fraction form
    2,976.84/4,107.84 = 1,717.80/x
  3. Step 3: Cross multiply
    2,976.84x = 4,107.84 × 1,717.80
  4. Step 4: Simplify right side
    2,976.84x = 7,056,447.55
  5. Step 5: Solve for x
    x = 7,056,447.55/2,976.84
  6. Step 6: Final answer
    x = 2,370.45

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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.