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Finding the Fourth Proportional to 2,287.69, 3,157.14 and 1,448.09

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Solution

The fourth proportional to 2,287.69, 3,157.14 and 1,448.09 is: 1,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.69 : 3,157.14 = 1,448.09 : x
  2. Step 2: Convert to fraction form
    2,287.69/3,157.14 = 1,448.09/x
  3. Step 3: Cross multiply
    2,287.69x = 3,157.14 × 1,448.09
  4. Step 4: Simplify right side
    2,287.69x = 4,571,822.68
  5. Step 5: Solve for x
    x = 4,571,822.68/2,287.69
  6. Step 6: Final answer
    x = 1,998.44

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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.