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Finding the Fourth Proportional to 3,209.48, 4,815.54 and 1,361

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Solution

The fourth proportional to 3,209.48, 4,815.54 and 1,361 is: 2,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.48 : 4,815.54 = 1,361 : x
  2. Step 2: Convert to fraction form
    3,209.48/4,815.54 = 1,361/x
  3. Step 3: Cross multiply
    3,209.48x = 4,815.54 × 1,361
  4. Step 4: Simplify right side
    3,209.48x = 6,553,949.94
  5. Step 5: Solve for x
    x = 6,553,949.94/3,209.48
  6. Step 6: Final answer
    x = 2,042.06

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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.