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Finding the Fourth Proportional to 2,238.94, 3,356.18 and 922.49

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Solution

The fourth proportional to 2,238.94, 3,356.18 and 922.49 is: 1,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.94 : 3,356.18 = 922.49 : x
  2. Step 2: Convert to fraction form
    2,238.94/3,356.18 = 922.49/x
  3. Step 3: Cross multiply
    2,238.94x = 3,356.18 × 922.49
  4. Step 4: Simplify right side
    2,238.94x = 3,096,042.49
  5. Step 5: Solve for x
    x = 3,096,042.49/2,238.94
  6. Step 6: Final answer
    x = 1,382.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.