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Finding the Fourth Proportional to 1,966.80, 2,714.48 and 1,180.88

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Solution

The fourth proportional to 1,966.80, 2,714.48 and 1,180.88 is: 1,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.80 : 2,714.48 = 1,180.88 : x
  2. Step 2: Convert to fraction form
    1,966.80/2,714.48 = 1,180.88/x
  3. Step 3: Cross multiply
    1,966.80x = 2,714.48 × 1,180.88
  4. Step 4: Simplify right side
    1,966.80x = 3,205,475.14
  5. Step 5: Solve for x
    x = 3,205,475.14/1,966.80
  6. Step 6: Final answer
    x = 1,629.79

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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.