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Finding the Fourth Proportional to 2,136.73, 2,948.94 and 1,252.53

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Solution

The fourth proportional to 2,136.73, 2,948.94 and 1,252.53 is: 1,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.73 : 2,948.94 = 1,252.53 : x
  2. Step 2: Convert to fraction form
    2,136.73/2,948.94 = 1,252.53/x
  3. Step 3: Cross multiply
    2,136.73x = 2,948.94 × 1,252.53
  4. Step 4: Simplify right side
    2,136.73x = 3,693,635.82
  5. Step 5: Solve for x
    x = 3,693,635.82/2,136.73
  6. Step 6: Final answer
    x = 1,728.64

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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.