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Finding the Fourth Proportional to 1,662.27, 2,293.11 and 998.97

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Solution

The fourth proportional to 1,662.27, 2,293.11 and 998.97 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.27 : 2,293.11 = 998.97 : x
  2. Step 2: Convert to fraction form
    1,662.27/2,293.11 = 998.97/x
  3. Step 3: Cross multiply
    1,662.27x = 2,293.11 × 998.97
  4. Step 4: Simplify right side
    1,662.27x = 2,290,748.10
  5. Step 5: Solve for x
    x = 2,290,748.10/1,662.27
  6. Step 6: Final answer
    x = 1,378.08

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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.