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Finding the Fourth Proportional to 2,645.09, 3,641.92 and 2,245.93

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Solution

The fourth proportional to 2,645.09, 3,641.92 and 2,245.93 is: 3,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.09 : 3,641.92 = 2,245.93 : x
  2. Step 2: Convert to fraction form
    2,645.09/3,641.92 = 2,245.93/x
  3. Step 3: Cross multiply
    2,645.09x = 3,641.92 × 2,245.93
  4. Step 4: Simplify right side
    2,645.09x = 8,179,497.39
  5. Step 5: Solve for x
    x = 8,179,497.39/2,645.09
  6. Step 6: Final answer
    x = 3,092.33

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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.