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Finding the Fourth Proportional to 2,802.78, 4,198.69 and 1,704.42

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Solution

The fourth proportional to 2,802.78, 4,198.69 and 1,704.42 is: 2,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.78 : 4,198.69 = 1,704.42 : x
  2. Step 2: Convert to fraction form
    2,802.78/4,198.69 = 1,704.42/x
  3. Step 3: Cross multiply
    2,802.78x = 4,198.69 × 1,704.42
  4. Step 4: Simplify right side
    2,802.78x = 7,156,331.21
  5. Step 5: Solve for x
    x = 7,156,331.21/2,802.78
  6. Step 6: Final answer
    x = 2,553.30

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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.