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Finding the Fourth Proportional to 2,092.06, 3,136.46 and 859.78

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Solution

The fourth proportional to 2,092.06, 3,136.46 and 859.78 is: 1,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.06 : 3,136.46 = 859.78 : x
  2. Step 2: Convert to fraction form
    2,092.06/3,136.46 = 859.78/x
  3. Step 3: Cross multiply
    2,092.06x = 3,136.46 × 859.78
  4. Step 4: Simplify right side
    2,092.06x = 2,696,665.58
  5. Step 5: Solve for x
    x = 2,696,665.58/2,092.06
  6. Step 6: Final answer
    x = 1,289.00

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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.