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Finding the Fourth Proportional to 1,977.20, 2,728.68 and 1,191.68

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Solution

The fourth proportional to 1,977.20, 2,728.68 and 1,191.68 is: 1,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.20 : 2,728.68 = 1,191.68 : x
  2. Step 2: Convert to fraction form
    1,977.20/2,728.68 = 1,191.68/x
  3. Step 3: Cross multiply
    1,977.20x = 2,728.68 × 1,191.68
  4. Step 4: Simplify right side
    1,977.20x = 3,251,713.38
  5. Step 5: Solve for x
    x = 3,251,713.38/1,977.20
  6. Step 6: Final answer
    x = 1,644.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.