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Finding the Fourth Proportional to 2,226.72, 3,337.86 and 1,837.92

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Solution

The fourth proportional to 2,226.72, 3,337.86 and 1,837.92 is: 2,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.72 : 3,337.86 = 1,837.92 : x
  2. Step 2: Convert to fraction form
    2,226.72/3,337.86 = 1,837.92/x
  3. Step 3: Cross multiply
    2,226.72x = 3,337.86 × 1,837.92
  4. Step 4: Simplify right side
    2,226.72x = 6,134,719.65
  5. Step 5: Solve for x
    x = 6,134,719.65/2,226.72
  6. Step 6: Final answer
    x = 2,755.05

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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.