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Finding the Fourth Proportional to 2,604.09, 3,593.62 and 1,409.05

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Solution

The fourth proportional to 2,604.09, 3,593.62 and 1,409.05 is: 1,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.09 : 3,593.62 = 1,409.05 : x
  2. Step 2: Convert to fraction form
    2,604.09/3,593.62 = 1,409.05/x
  3. Step 3: Cross multiply
    2,604.09x = 3,593.62 × 1,409.05
  4. Step 4: Simplify right side
    2,604.09x = 5,063,579.80
  5. Step 5: Solve for x
    x = 5,063,579.80/2,604.09
  6. Step 6: Final answer
    x = 1,944.47

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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.