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Finding the Fourth Proportional to 1,784.82, 2,462.97 and 998.73

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Solution

The fourth proportional to 1,784.82, 2,462.97 and 998.73 is: 1,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.82 : 2,462.97 = 998.73 : x
  2. Step 2: Convert to fraction form
    1,784.82/2,462.97 = 998.73/x
  3. Step 3: Cross multiply
    1,784.82x = 2,462.97 × 998.73
  4. Step 4: Simplify right side
    1,784.82x = 2,459,842.03
  5. Step 5: Solve for x
    x = 2,459,842.03/1,784.82
  6. Step 6: Final answer
    x = 1,378.20

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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.