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Finding the Fourth Proportional to 2,634.92, 3,624.81 and 2,278.18

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Solution

The fourth proportional to 2,634.92, 3,624.81 and 2,278.18 is: 3,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.92 : 3,624.81 = 2,278.18 : x
  2. Step 2: Convert to fraction form
    2,634.92/3,624.81 = 2,278.18/x
  3. Step 3: Cross multiply
    2,634.92x = 3,624.81 × 2,278.18
  4. Step 4: Simplify right side
    2,634.92x = 8,257,969.65
  5. Step 5: Solve for x
    x = 8,257,969.65/2,634.92
  6. Step 6: Final answer
    x = 3,134.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.