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Finding the Fourth Proportional to 2,286.24, 3,428.64 and 825

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Solution

The fourth proportional to 2,286.24, 3,428.64 and 825 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.24 : 3,428.64 = 825 : x
  2. Step 2: Convert to fraction form
    2,286.24/3,428.64 = 825/x
  3. Step 3: Cross multiply
    2,286.24x = 3,428.64 × 825
  4. Step 4: Simplify right side
    2,286.24x = 2,828,628
  5. Step 5: Solve for x
    x = 2,828,628/2,286.24
  6. Step 6: Final answer
    x = 1,237.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.