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Finding the Fourth Proportional to 2,553.08, 3,829.63 and 704.29

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Solution

The fourth proportional to 2,553.08, 3,829.63 and 704.29 is: 1,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.08 : 3,829.63 = 704.29 : x
  2. Step 2: Convert to fraction form
    2,553.08/3,829.63 = 704.29/x
  3. Step 3: Cross multiply
    2,553.08x = 3,829.63 × 704.29
  4. Step 4: Simplify right side
    2,553.08x = 2,697,170.11
  5. Step 5: Solve for x
    x = 2,697,170.11/2,553.08
  6. Step 6: Final answer
    x = 1,056.44

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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.