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Finding the Fourth Proportional to 2,714.99, 4,066.10 and 1,323.97

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Solution

The fourth proportional to 2,714.99, 4,066.10 and 1,323.97 is: 1,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.99 : 4,066.10 = 1,323.97 : x
  2. Step 2: Convert to fraction form
    2,714.99/4,066.10 = 1,323.97/x
  3. Step 3: Cross multiply
    2,714.99x = 4,066.10 × 1,323.97
  4. Step 4: Simplify right side
    2,714.99x = 5,383,387.56
  5. Step 5: Solve for x
    x = 5,383,387.56/2,714.99
  6. Step 6: Final answer
    x = 1,982.84

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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.