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Finding the Fourth Proportional to 1,983.48, 2,976.84 and 830.04

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Solution

The fourth proportional to 1,983.48, 2,976.84 and 830.04 is: 1,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.48 : 2,976.84 = 830.04 : x
  2. Step 2: Convert to fraction form
    1,983.48/2,976.84 = 830.04/x
  3. Step 3: Cross multiply
    1,983.48x = 2,976.84 × 830.04
  4. Step 4: Simplify right side
    1,983.48x = 2,470,896.27
  5. Step 5: Solve for x
    x = 2,470,896.27/1,983.48
  6. Step 6: Final answer
    x = 1,245.74

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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.