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Finding the Fourth Proportional to 1,621.89, 2,238.32 and 923.27

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Solution

The fourth proportional to 1,621.89, 2,238.32 and 923.27 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.89 : 2,238.32 = 923.27 : x
  2. Step 2: Convert to fraction form
    1,621.89/2,238.32 = 923.27/x
  3. Step 3: Cross multiply
    1,621.89x = 2,238.32 × 923.27
  4. Step 4: Simplify right side
    1,621.89x = 2,066,557.90
  5. Step 5: Solve for x
    x = 2,066,557.90/1,621.89
  6. Step 6: Final answer
    x = 1,274.17

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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.