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Finding the Fourth Proportional to 1,081.94, 1,611.59 and 1,067.58

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Solution

The fourth proportional to 1,081.94, 1,611.59 and 1,067.58 is: 1,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.94 : 1,611.59 = 1,067.58 : x
  2. Step 2: Convert to fraction form
    1,081.94/1,611.59 = 1,067.58/x
  3. Step 3: Cross multiply
    1,081.94x = 1,611.59 × 1,067.58
  4. Step 4: Simplify right side
    1,081.94x = 1,720,495.91
  5. Step 5: Solve for x
    x = 1,720,495.91/1,081.94
  6. Step 6: Final answer
    x = 1,590.20

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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.