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Finding the Fourth Proportional to 2,553.09, 3,829.50 and 704.22

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Solution

The fourth proportional to 2,553.09, 3,829.50 and 704.22 is: 1,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.09 : 3,829.50 = 704.22 : x
  2. Step 2: Convert to fraction form
    2,553.09/3,829.50 = 704.22/x
  3. Step 3: Cross multiply
    2,553.09x = 3,829.50 × 704.22
  4. Step 4: Simplify right side
    2,553.09x = 2,696,810.49
  5. Step 5: Solve for x
    x = 2,696,810.49/2,553.09
  6. Step 6: Final answer
    x = 1,056.29

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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.