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Finding the Fourth Proportional to 1,600.12, 2,391.89 and 1,383.22

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Solution

The fourth proportional to 1,600.12, 2,391.89 and 1,383.22 is: 2,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.12 : 2,391.89 = 1,383.22 : x
  2. Step 2: Convert to fraction form
    1,600.12/2,391.89 = 1,383.22/x
  3. Step 3: Cross multiply
    1,600.12x = 2,391.89 × 1,383.22
  4. Step 4: Simplify right side
    1,600.12x = 3,308,510.09
  5. Step 5: Solve for x
    x = 3,308,510.09/1,600.12
  6. Step 6: Final answer
    x = 2,067.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.