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Finding the Fourth Proportional to 1,621.82, 2,238.12 and 923.19

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Solution

The fourth proportional to 1,621.82, 2,238.12 and 923.19 is: 1,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.82 : 2,238.12 = 923.19 : x
  2. Step 2: Convert to fraction form
    1,621.82/2,238.12 = 923.19/x
  3. Step 3: Cross multiply
    1,621.82x = 2,238.12 × 923.19
  4. Step 4: Simplify right side
    1,621.82x = 2,066,205.39
  5. Step 5: Solve for x
    x = 2,066,205.39/1,621.82
  6. Step 6: Final answer
    x = 1,274.01

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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.