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Finding the Fourth Proportional to 2,656.94, 3,982.16 and 1,194.08

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Solution

The fourth proportional to 2,656.94, 3,982.16 and 1,194.08 is: 1,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.94 : 3,982.16 = 1,194.08 : x
  2. Step 2: Convert to fraction form
    2,656.94/3,982.16 = 1,194.08/x
  3. Step 3: Cross multiply
    2,656.94x = 3,982.16 × 1,194.08
  4. Step 4: Simplify right side
    2,656.94x = 4,755,000.69
  5. Step 5: Solve for x
    x = 4,755,000.69/2,656.94
  6. Step 6: Final answer
    x = 1,789.66

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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.