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Finding the Fourth Proportional to 2,273.80, 3,136.41 and 1,433.80

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Solution

The fourth proportional to 2,273.80, 3,136.41 and 1,433.80 is: 1,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.80 : 3,136.41 = 1,433.80 : x
  2. Step 2: Convert to fraction form
    2,273.80/3,136.41 = 1,433.80/x
  3. Step 3: Cross multiply
    2,273.80x = 3,136.41 × 1,433.80
  4. Step 4: Simplify right side
    2,273.80x = 4,496,984.66
  5. Step 5: Solve for x
    x = 4,496,984.66/2,273.80
  6. Step 6: Final answer
    x = 1,977.74

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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.