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Finding the Fourth Proportional to 2,205.92, 3,044.16 and 1,211.17

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Solution

The fourth proportional to 2,205.92, 3,044.16 and 1,211.17 is: 1,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.92 : 3,044.16 = 1,211.17 : x
  2. Step 2: Convert to fraction form
    2,205.92/3,044.16 = 1,211.17/x
  3. Step 3: Cross multiply
    2,205.92x = 3,044.16 × 1,211.17
  4. Step 4: Simplify right side
    2,205.92x = 3,686,995.27
  5. Step 5: Solve for x
    x = 3,686,995.27/2,205.92
  6. Step 6: Final answer
    x = 1,671.41

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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.