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Finding the Fourth Proportional to 2,553.90, 3,830.15 and 704.57

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Solution

The fourth proportional to 2,553.90, 3,830.15 and 704.57 is: 1,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.90 : 3,830.15 = 704.57 : x
  2. Step 2: Convert to fraction form
    2,553.90/3,830.15 = 704.57/x
  3. Step 3: Cross multiply
    2,553.90x = 3,830.15 × 704.57
  4. Step 4: Simplify right side
    2,553.90x = 2,698,591.40
  5. Step 5: Solve for x
    x = 2,698,591.40/2,553.90
  6. Step 6: Final answer
    x = 1,056.66

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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.