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Finding the Fourth Proportional to 2,553.16, 3,829.82 and 704.26

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Solution

The fourth proportional to 2,553.16, 3,829.82 and 704.26 is: 1,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.16 : 3,829.82 = 704.26 : x
  2. Step 2: Convert to fraction form
    2,553.16/3,829.82 = 704.26/x
  3. Step 3: Cross multiply
    2,553.16x = 3,829.82 × 704.26
  4. Step 4: Simplify right side
    2,553.16x = 2,697,189.03
  5. Step 5: Solve for x
    x = 2,697,189.03/2,553.16
  6. Step 6: Final answer
    x = 1,056.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.