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Finding the Fourth Proportional to 1,984.13, 2,976.60 and 829.88

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Solution

The fourth proportional to 1,984.13, 2,976.60 and 829.88 is: 1,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.13 : 2,976.60 = 829.88 : x
  2. Step 2: Convert to fraction form
    1,984.13/2,976.60 = 829.88/x
  3. Step 3: Cross multiply
    1,984.13x = 2,976.60 × 829.88
  4. Step 4: Simplify right side
    1,984.13x = 2,470,205.93
  5. Step 5: Solve for x
    x = 2,470,205.93/1,984.13
  6. Step 6: Final answer
    x = 1,244.99

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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.