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Finding the Fourth Proportional to 2,553.54, 3,830.40 and 704.79

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Solution

The fourth proportional to 2,553.54, 3,830.40 and 704.79 is: 1,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.54 : 3,830.40 = 704.79 : x
  2. Step 2: Convert to fraction form
    2,553.54/3,830.40 = 704.79/x
  3. Step 3: Cross multiply
    2,553.54x = 3,830.40 × 704.79
  4. Step 4: Simplify right side
    2,553.54x = 2,699,627.62
  5. Step 5: Solve for x
    x = 2,699,627.62/2,553.54
  6. Step 6: Final answer
    x = 1,057.21

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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.