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Finding the Fourth Proportional to 2,152.15, 3,226.89 and 918.85

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Solution

The fourth proportional to 2,152.15, 3,226.89 and 918.85 is: 1,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.15 : 3,226.89 = 918.85 : x
  2. Step 2: Convert to fraction form
    2,152.15/3,226.89 = 918.85/x
  3. Step 3: Cross multiply
    2,152.15x = 3,226.89 × 918.85
  4. Step 4: Simplify right side
    2,152.15x = 2,965,027.88
  5. Step 5: Solve for x
    x = 2,965,027.88/2,152.15
  6. Step 6: Final answer
    x = 1,377.71

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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.