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Finding the Fourth Proportional to 1,983.76, 2,976.48 and 830.32

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Solution

The fourth proportional to 1,983.76, 2,976.48 and 830.32 is: 1,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.76 : 2,976.48 = 830.32 : x
  2. Step 2: Convert to fraction form
    1,983.76/2,976.48 = 830.32/x
  3. Step 3: Cross multiply
    1,983.76x = 2,976.48 × 830.32
  4. Step 4: Simplify right side
    1,983.76x = 2,471,430.87
  5. Step 5: Solve for x
    x = 2,471,430.87/1,983.76
  6. Step 6: Final answer
    x = 1,245.83

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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.