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Finding the Fourth Proportional to 1,447.24, 1,997.50 and 923.18

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Solution

The fourth proportional to 1,447.24, 1,997.50 and 923.18 is: 1,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.24 : 1,997.50 = 923.18 : x
  2. Step 2: Convert to fraction form
    1,447.24/1,997.50 = 923.18/x
  3. Step 3: Cross multiply
    1,447.24x = 1,997.50 × 923.18
  4. Step 4: Simplify right side
    1,447.24x = 1,844,052.05
  5. Step 5: Solve for x
    x = 1,844,052.05/1,447.24
  6. Step 6: Final answer
    x = 1,274.19

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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.