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Finding the Fourth Proportional to 2,282.40, 3,149.40 and 1,273.99

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Solution

The fourth proportional to 2,282.40, 3,149.40 and 1,273.99 is: 1,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.40 : 3,149.40 = 1,273.99 : x
  2. Step 2: Convert to fraction form
    2,282.40/3,149.40 = 1,273.99/x
  3. Step 3: Cross multiply
    2,282.40x = 3,149.40 × 1,273.99
  4. Step 4: Simplify right side
    2,282.40x = 4,012,296.27
  5. Step 5: Solve for x
    x = 4,012,296.27/2,282.40
  6. Step 6: Final answer
    x = 1,757.93

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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.