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Finding the Fourth Proportional to 2,205.78, 3,044.46 and 1,726.29

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Solution

The fourth proportional to 2,205.78, 3,044.46 and 1,726.29 is: 2,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.78 : 3,044.46 = 1,726.29 : x
  2. Step 2: Convert to fraction form
    2,205.78/3,044.46 = 1,726.29/x
  3. Step 3: Cross multiply
    2,205.78x = 3,044.46 × 1,726.29
  4. Step 4: Simplify right side
    2,205.78x = 5,255,605.63
  5. Step 5: Solve for x
    x = 5,255,605.63/2,205.78
  6. Step 6: Final answer
    x = 2,382.65

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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.