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Finding the Fourth Proportional to 1,966.72, 2,714.16 and 1,180.76

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Solution

The fourth proportional to 1,966.72, 2,714.16 and 1,180.76 is: 1,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.72 : 2,714.16 = 1,180.76 : x
  2. Step 2: Convert to fraction form
    1,966.72/2,714.16 = 1,180.76/x
  3. Step 3: Cross multiply
    1,966.72x = 2,714.16 × 1,180.76
  4. Step 4: Simplify right side
    1,966.72x = 3,204,771.56
  5. Step 5: Solve for x
    x = 3,204,771.56/1,966.72
  6. Step 6: Final answer
    x = 1,629.50

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