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Finding the Fourth Proportional to 2,553.52, 3,830.56 and 2,033.52

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Solution

The fourth proportional to 2,553.52, 3,830.56 and 2,033.52 is: 3,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.52 : 3,830.56 = 2,033.52 : x
  2. Step 2: Convert to fraction form
    2,553.52/3,830.56 = 2,033.52/x
  3. Step 3: Cross multiply
    2,553.52x = 3,830.56 × 2,033.52
  4. Step 4: Simplify right side
    2,553.52x = 7,789,520.37
  5. Step 5: Solve for x
    x = 7,789,520.37/2,553.52
  6. Step 6: Final answer
    x = 3,050.50

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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.