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Finding the Fourth Proportional to 2,136.88, 2,948.81 and 1,192.72

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Solution

The fourth proportional to 2,136.88, 2,948.81 and 1,192.72 is: 1,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.88 : 2,948.81 = 1,192.72 : x
  2. Step 2: Convert to fraction form
    2,136.88/2,948.81 = 1,192.72/x
  3. Step 3: Cross multiply
    2,136.88x = 2,948.81 × 1,192.72
  4. Step 4: Simplify right side
    2,136.88x = 3,517,104.66
  5. Step 5: Solve for x
    x = 3,517,104.66/2,136.88
  6. Step 6: Final answer
    x = 1,645.91

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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.