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Finding the Fourth Proportional to 3,122.71, 4,687.31 and 1,273.75

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Solution

The fourth proportional to 3,122.71, 4,687.31 and 1,273.75 is: 1,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.71 : 4,687.31 = 1,273.75 : x
  2. Step 2: Convert to fraction form
    3,122.71/4,687.31 = 1,273.75/x
  3. Step 3: Cross multiply
    3,122.71x = 4,687.31 × 1,273.75
  4. Step 4: Simplify right side
    3,122.71x = 5,970,461.11
  5. Step 5: Solve for x
    x = 5,970,461.11/3,122.71
  6. Step 6: Final answer
    x = 1,911.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.