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Finding the Fourth Proportional to 3,223.76, 4,834.59 and 1,663.54

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Solution

The fourth proportional to 3,223.76, 4,834.59 and 1,663.54 is: 2,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.76 : 4,834.59 = 1,663.54 : x
  2. Step 2: Convert to fraction form
    3,223.76/4,834.59 = 1,663.54/x
  3. Step 3: Cross multiply
    3,223.76x = 4,834.59 × 1,663.54
  4. Step 4: Simplify right side
    3,223.76x = 8,042,533.85
  5. Step 5: Solve for x
    x = 8,042,533.85/3,223.76
  6. Step 6: Final answer
    x = 2,494.77

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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.