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Finding the Fourth Proportional to 2,226.63, 3,337.92 and 927.39

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Solution

The fourth proportional to 2,226.63, 3,337.92 and 927.39 is: 1,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.63 : 3,337.92 = 927.39 : x
  2. Step 2: Convert to fraction form
    2,226.63/3,337.92 = 927.39/x
  3. Step 3: Cross multiply
    2,226.63x = 3,337.92 × 927.39
  4. Step 4: Simplify right side
    2,226.63x = 3,095,553.63
  5. Step 5: Solve for x
    x = 3,095,553.63/2,226.63
  6. Step 6: Final answer
    x = 1,390.24

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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.