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Finding the Fourth Proportional to 2,553.80, 3,830.23 and 704.45

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Solution

The fourth proportional to 2,553.80, 3,830.23 and 704.45 is: 1,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.80 : 3,830.23 = 704.45 : x
  2. Step 2: Convert to fraction form
    2,553.80/3,830.23 = 704.45/x
  3. Step 3: Cross multiply
    2,553.80x = 3,830.23 × 704.45
  4. Step 4: Simplify right side
    2,553.80x = 2,698,211.58
  5. Step 5: Solve for x
    x = 2,698,211.58/2,553.80
  6. Step 6: Final answer
    x = 1,056.55

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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.