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Finding the Fourth Proportional to 2,200.09, 3,036.09 and 1,205.35

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Solution

The fourth proportional to 2,200.09, 3,036.09 and 1,205.35 is: 1,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.09 : 3,036.09 = 1,205.35 : x
  2. Step 2: Convert to fraction form
    2,200.09/3,036.09 = 1,205.35/x
  3. Step 3: Cross multiply
    2,200.09x = 3,036.09 × 1,205.35
  4. Step 4: Simplify right side
    2,200.09x = 3,659,545.05
  5. Step 5: Solve for x
    x = 3,659,545.05/2,200.09
  6. Step 6: Final answer
    x = 1,663.36

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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.