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Finding the Fourth Proportional to 1,187.83, 1,639.28 and 1,067.54

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Solution

The fourth proportional to 1,187.83, 1,639.28 and 1,067.54 is: 1,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.83 : 1,639.28 = 1,067.54 : x
  2. Step 2: Convert to fraction form
    1,187.83/1,639.28 = 1,067.54/x
  3. Step 3: Cross multiply
    1,187.83x = 1,639.28 × 1,067.54
  4. Step 4: Simplify right side
    1,187.83x = 1,749,991.63
  5. Step 5: Solve for x
    x = 1,749,991.63/1,187.83
  6. Step 6: Final answer
    x = 1,473.27

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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.