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Finding the Fourth Proportional to 1,600.94, 2,202.36 and 1,305.56

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Solution

The fourth proportional to 1,600.94, 2,202.36 and 1,305.56 is: 1,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.94 : 2,202.36 = 1,305.56 : x
  2. Step 2: Convert to fraction form
    1,600.94/2,202.36 = 1,305.56/x
  3. Step 3: Cross multiply
    1,600.94x = 2,202.36 × 1,305.56
  4. Step 4: Simplify right side
    1,600.94x = 2,875,313.12
  5. Step 5: Solve for x
    x = 2,875,313.12/1,600.94
  6. Step 6: Final answer
    x = 1,796.02

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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.