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Finding the Fourth Proportional to 2,272.25, 3,136.04 and 1,388.56

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Solution

The fourth proportional to 2,272.25, 3,136.04 and 1,388.56 is: 1,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.25 : 3,136.04 = 1,388.56 : x
  2. Step 2: Convert to fraction form
    2,272.25/3,136.04 = 1,388.56/x
  3. Step 3: Cross multiply
    2,272.25x = 3,136.04 × 1,388.56
  4. Step 4: Simplify right side
    2,272.25x = 4,354,579.70
  5. Step 5: Solve for x
    x = 4,354,579.70/2,272.25
  6. Step 6: Final answer
    x = 1,916.42

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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.