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Finding the Fourth Proportional to 2,092.82, 3,136.62 and 859.55

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Solution

The fourth proportional to 2,092.82, 3,136.62 and 859.55 is: 1,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.82 : 3,136.62 = 859.55 : x
  2. Step 2: Convert to fraction form
    2,092.82/3,136.62 = 859.55/x
  3. Step 3: Cross multiply
    2,092.82x = 3,136.62 × 859.55
  4. Step 4: Simplify right side
    2,092.82x = 2,696,081.72
  5. Step 5: Solve for x
    x = 2,696,081.72/2,092.82
  6. Step 6: Final answer
    x = 1,288.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.