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Finding the Fourth Proportional to 2,204.54, 3,042.08 and 1,209.82

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Solution

The fourth proportional to 2,204.54, 3,042.08 and 1,209.82 is: 1,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.54 : 3,042.08 = 1,209.82 : x
  2. Step 2: Convert to fraction form
    2,204.54/3,042.08 = 1,209.82/x
  3. Step 3: Cross multiply
    2,204.54x = 3,042.08 × 1,209.82
  4. Step 4: Simplify right side
    2,204.54x = 3,680,347.97
  5. Step 5: Solve for x
    x = 3,680,347.97/2,204.54
  6. Step 6: Final answer
    x = 1,669.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.