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Finding the Fourth Proportional to 2,553.35, 3,830.63 and 798.29

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Solution

The fourth proportional to 2,553.35, 3,830.63 and 798.29 is: 1,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.35 : 3,830.63 = 798.29 : x
  2. Step 2: Convert to fraction form
    2,553.35/3,830.63 = 798.29/x
  3. Step 3: Cross multiply
    2,553.35x = 3,830.63 × 798.29
  4. Step 4: Simplify right side
    2,553.35x = 3,057,953.62
  5. Step 5: Solve for x
    x = 3,057,953.62/2,553.35
  6. Step 6: Final answer
    x = 1,197.62

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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.