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Finding the Fourth Proportional to 1,446.49, 1,997.14 and 923.23

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Solution

The fourth proportional to 1,446.49, 1,997.14 and 923.23 is: 1,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.49 : 1,997.14 = 923.23 : x
  2. Step 2: Convert to fraction form
    1,446.49/1,997.14 = 923.23/x
  3. Step 3: Cross multiply
    1,446.49x = 1,997.14 × 923.23
  4. Step 4: Simplify right side
    1,446.49x = 1,843,809.58
  5. Step 5: Solve for x
    x = 1,843,809.58/1,446.49
  6. Step 6: Final answer
    x = 1,274.68

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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.