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Finding the Fourth Proportional to 2,339.81, 3,227.33 and 1,593.47

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Solution

The fourth proportional to 2,339.81, 3,227.33 and 1,593.47 is: 2,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.81 : 3,227.33 = 1,593.47 : x
  2. Step 2: Convert to fraction form
    2,339.81/3,227.33 = 1,593.47/x
  3. Step 3: Cross multiply
    2,339.81x = 3,227.33 × 1,593.47
  4. Step 4: Simplify right side
    2,339.81x = 5,142,629.43
  5. Step 5: Solve for x
    x = 5,142,629.43/2,339.81
  6. Step 6: Final answer
    x = 2,197.89

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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.