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Finding the Fourth Proportional to 3,223.08, 4,834.64 and 883.04

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Solution

The fourth proportional to 3,223.08, 4,834.64 and 883.04 is: 1,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.08 : 4,834.64 = 883.04 : x
  2. Step 2: Convert to fraction form
    3,223.08/4,834.64 = 883.04/x
  3. Step 3: Cross multiply
    3,223.08x = 4,834.64 × 883.04
  4. Step 4: Simplify right side
    3,223.08x = 4,269,158.54
  5. Step 5: Solve for x
    x = 4,269,158.54/3,223.08
  6. Step 6: Final answer
    x = 1,324.56

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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.