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Finding the Fourth Proportional to 2,383.79, 3,287.36 and 1,824.29

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Solution

The fourth proportional to 2,383.79, 3,287.36 and 1,824.29 is: 2,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.79 : 3,287.36 = 1,824.29 : x
  2. Step 2: Convert to fraction form
    2,383.79/3,287.36 = 1,824.29/x
  3. Step 3: Cross multiply
    2,383.79x = 3,287.36 × 1,824.29
  4. Step 4: Simplify right side
    2,383.79x = 5,997,086.10
  5. Step 5: Solve for x
    x = 5,997,086.10/2,383.79
  6. Step 6: Final answer
    x = 2,515.78

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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.