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Finding the Fourth Proportional to 2,238.85, 3,359.43 and 923.62

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Solution

The fourth proportional to 2,238.85, 3,359.43 and 923.62 is: 1,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.85 : 3,359.43 = 923.62 : x
  2. Step 2: Convert to fraction form
    2,238.85/3,359.43 = 923.62/x
  3. Step 3: Cross multiply
    2,238.85x = 3,359.43 × 923.62
  4. Step 4: Simplify right side
    2,238.85x = 3,102,815.32
  5. Step 5: Solve for x
    x = 3,102,815.32/2,238.85
  6. Step 6: Final answer
    x = 1,385.90

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