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Finding the Fourth Proportional to 1,604.17, 2,213.81 and 905.59

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Solution

The fourth proportional to 1,604.17, 2,213.81 and 905.59 is: 1,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.17 : 2,213.81 = 905.59 : x
  2. Step 2: Convert to fraction form
    1,604.17/2,213.81 = 905.59/x
  3. Step 3: Cross multiply
    1,604.17x = 2,213.81 × 905.59
  4. Step 4: Simplify right side
    1,604.17x = 2,004,804.20
  5. Step 5: Solve for x
    x = 2,004,804.20/1,604.17
  6. Step 6: Final answer
    x = 1,249.75

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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.