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Finding the Fourth Proportional to 2,200.06, 3,036.06 and 1,205.33

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Solution

The fourth proportional to 2,200.06, 3,036.06 and 1,205.33 is: 1,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.06 : 3,036.06 = 1,205.33 : x
  2. Step 2: Convert to fraction form
    2,200.06/3,036.06 = 1,205.33/x
  3. Step 3: Cross multiply
    2,200.06x = 3,036.06 × 1,205.33
  4. Step 4: Simplify right side
    2,200.06x = 3,659,454.20
  5. Step 5: Solve for x
    x = 3,659,454.20/2,200.06
  6. Step 6: Final answer
    x = 1,663.34

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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.