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Finding the Fourth Proportional to 2,363.83, 3,553.85 and 2,302.27

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Solution

The fourth proportional to 2,363.83, 3,553.85 and 2,302.27 is: 3,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.83 : 3,553.85 = 2,302.27 : x
  2. Step 2: Convert to fraction form
    2,363.83/3,553.85 = 2,302.27/x
  3. Step 3: Cross multiply
    2,363.83x = 3,553.85 × 2,302.27
  4. Step 4: Simplify right side
    2,363.83x = 8,181,910.73
  5. Step 5: Solve for x
    x = 8,181,910.73/2,363.83
  6. Step 6: Final answer
    x = 3,461.29

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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.