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Finding the Fourth Proportional to 1,984.11, 2,976.50 and 685.28

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Solution

The fourth proportional to 1,984.11, 2,976.50 and 685.28 is: 1,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.11 : 2,976.50 = 685.28 : x
  2. Step 2: Convert to fraction form
    1,984.11/2,976.50 = 685.28/x
  3. Step 3: Cross multiply
    1,984.11x = 2,976.50 × 685.28
  4. Step 4: Simplify right side
    1,984.11x = 2,039,717.61
  5. Step 5: Solve for x
    x = 2,039,717.61/1,984.11
  6. Step 6: Final answer
    x = 1,028.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.