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Finding the Fourth Proportional to 2,136.66, 2,947.77 and 1,252.14

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Solution

The fourth proportional to 2,136.66, 2,947.77 and 1,252.14 is: 1,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.66 : 2,947.77 = 1,252.14 : x
  2. Step 2: Convert to fraction form
    2,136.66/2,947.77 = 1,252.14/x
  3. Step 3: Cross multiply
    2,136.66x = 2,947.77 × 1,252.14
  4. Step 4: Simplify right side
    2,136.66x = 3,691,020.73
  5. Step 5: Solve for x
    x = 3,691,020.73/2,136.66
  6. Step 6: Final answer
    x = 1,727.47

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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.