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Finding the Fourth Proportional to 1,662.23, 2,293.11 and 997.94

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Solution

The fourth proportional to 1,662.23, 2,293.11 and 997.94 is: 1,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.23 : 2,293.11 = 997.94 : x
  2. Step 2: Convert to fraction form
    1,662.23/2,293.11 = 997.94/x
  3. Step 3: Cross multiply
    1,662.23x = 2,293.11 × 997.94
  4. Step 4: Simplify right side
    1,662.23x = 2,288,374.73
  5. Step 5: Solve for x
    x = 2,288,374.73/1,662.23
  6. Step 6: Final answer
    x = 1,376.69

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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.