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Finding the Fourth Proportional to 1,447.68, 1,996.81 and 923.48

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Solution

The fourth proportional to 1,447.68, 1,996.81 and 923.48 is: 1,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.68 : 1,996.81 = 923.48 : x
  2. Step 2: Convert to fraction form
    1,447.68/1,996.81 = 923.48/x
  3. Step 3: Cross multiply
    1,447.68x = 1,996.81 × 923.48
  4. Step 4: Simplify right side
    1,447.68x = 1,844,001.81
  5. Step 5: Solve for x
    x = 1,844,001.81/1,447.68
  6. Step 6: Final answer
    x = 1,273.76

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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.