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Finding the Fourth Proportional to 2,226.35, 3,339.45 and 927.78

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Solution

The fourth proportional to 2,226.35, 3,339.45 and 927.78 is: 1,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.35 : 3,339.45 = 927.78 : x
  2. Step 2: Convert to fraction form
    2,226.35/3,339.45 = 927.78/x
  3. Step 3: Cross multiply
    2,226.35x = 3,339.45 × 927.78
  4. Step 4: Simplify right side
    2,226.35x = 3,098,274.92
  5. Step 5: Solve for x
    x = 3,098,274.92/2,226.35
  6. Step 6: Final answer
    x = 1,391.64

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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.