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Finding the Fourth Proportional to 2,226.66, 3,339.45 and 927.42

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Solution

The fourth proportional to 2,226.66, 3,339.45 and 927.42 is: 1,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.66 : 3,339.45 = 927.42 : x
  2. Step 2: Convert to fraction form
    2,226.66/3,339.45 = 927.42/x
  3. Step 3: Cross multiply
    2,226.66x = 3,339.45 × 927.42
  4. Step 4: Simplify right side
    2,226.66x = 3,097,072.72
  5. Step 5: Solve for x
    x = 3,097,072.72/2,226.66
  6. Step 6: Final answer
    x = 1,390.91

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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.