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Finding the Fourth Proportional to 2,204.37, 3,042 and 1,209.66

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Solution

The fourth proportional to 2,204.37, 3,042 and 1,209.66 is: 1,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.37 : 3,042 = 1,209.66 : x
  2. Step 2: Convert to fraction form
    2,204.37/3,042 = 1,209.66/x
  3. Step 3: Cross multiply
    2,204.37x = 3,042 × 1,209.66
  4. Step 4: Simplify right side
    2,204.37x = 3,679,785.72
  5. Step 5: Solve for x
    x = 3,679,785.72/2,204.37
  6. Step 6: Final answer
    x = 1,669.31

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Why These Related Problems?

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