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Finding the Fourth Proportional to 2,273.94, 3,136.59 and 1,433.93

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Solution

The fourth proportional to 2,273.94, 3,136.59 and 1,433.93 is: 1,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.94 : 3,136.59 = 1,433.93 : x
  2. Step 2: Convert to fraction form
    2,273.94/3,136.59 = 1,433.93/x
  3. Step 3: Cross multiply
    2,273.94x = 3,136.59 × 1,433.93
  4. Step 4: Simplify right side
    2,273.94x = 4,497,634.82
  5. Step 5: Solve for x
    x = 4,497,634.82/2,273.94
  6. Step 6: Final answer
    x = 1,977.90

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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.