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Finding the Fourth Proportional to 2,924.41, 4,383.07 and 2,147.71

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Solution

The fourth proportional to 2,924.41, 4,383.07 and 2,147.71 is: 3,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.41 : 4,383.07 = 2,147.71 : x
  2. Step 2: Convert to fraction form
    2,924.41/4,383.07 = 2,147.71/x
  3. Step 3: Cross multiply
    2,924.41x = 4,383.07 × 2,147.71
  4. Step 4: Simplify right side
    2,924.41x = 9,413,563.27
  5. Step 5: Solve for x
    x = 9,413,563.27/2,924.41
  6. Step 6: Final answer
    x = 3,218.96

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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.