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Finding the Fourth Proportional to 1,992.28, 2,983.08 and 1,296.88

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Solution

The fourth proportional to 1,992.28, 2,983.08 and 1,296.88 is: 1,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.28 : 2,983.08 = 1,296.88 : x
  2. Step 2: Convert to fraction form
    1,992.28/2,983.08 = 1,296.88/x
  3. Step 3: Cross multiply
    1,992.28x = 2,983.08 × 1,296.88
  4. Step 4: Simplify right side
    1,992.28x = 3,868,696.79
  5. Step 5: Solve for x
    x = 3,868,696.79/1,992.28
  6. Step 6: Final answer
    x = 1,941.84

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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.