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Finding the Fourth Proportional to 1,553.23, 2,143.34 and 923.73

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Solution

The fourth proportional to 1,553.23, 2,143.34 and 923.73 is: 1,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.23 : 2,143.34 = 923.73 : x
  2. Step 2: Convert to fraction form
    1,553.23/2,143.34 = 923.73/x
  3. Step 3: Cross multiply
    1,553.23x = 2,143.34 × 923.73
  4. Step 4: Simplify right side
    1,553.23x = 1,979,867.46
  5. Step 5: Solve for x
    x = 1,979,867.46/1,553.23
  6. Step 6: Final answer
    x = 1,274.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.