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Finding the Fourth Proportional to 2,272.68, 3,136.14 and 1,341

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Solution

The fourth proportional to 2,272.68, 3,136.14 and 1,341 is: 1,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.68 : 3,136.14 = 1,341 : x
  2. Step 2: Convert to fraction form
    2,272.68/3,136.14 = 1,341/x
  3. Step 3: Cross multiply
    2,272.68x = 3,136.14 × 1,341
  4. Step 4: Simplify right side
    2,272.68x = 4,205,563.74
  5. Step 5: Solve for x
    x = 4,205,563.74/2,272.68
  6. Step 6: Final answer
    x = 1,850.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.