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Finding the Fourth Proportional to 2,286.10, 3,427.08 and 824.24

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Solution

The fourth proportional to 2,286.10, 3,427.08 and 824.24 is: 1,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.10 : 3,427.08 = 824.24 : x
  2. Step 2: Convert to fraction form
    2,286.10/3,427.08 = 824.24/x
  3. Step 3: Cross multiply
    2,286.10x = 3,427.08 × 824.24
  4. Step 4: Simplify right side
    2,286.10x = 2,824,736.42
  5. Step 5: Solve for x
    x = 2,824,736.42/2,286.10
  6. Step 6: Final answer
    x = 1,235.61

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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.