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Finding the Fourth Proportional to 1,838.44, 2,536.59 and 1,092.09

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Solution

The fourth proportional to 1,838.44, 2,536.59 and 1,092.09 is: 1,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.44 : 2,536.59 = 1,092.09 : x
  2. Step 2: Convert to fraction form
    1,838.44/2,536.59 = 1,092.09/x
  3. Step 3: Cross multiply
    1,838.44x = 2,536.59 × 1,092.09
  4. Step 4: Simplify right side
    1,838.44x = 2,770,184.57
  5. Step 5: Solve for x
    x = 2,770,184.57/1,838.44
  6. Step 6: Final answer
    x = 1,506.81

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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.