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Finding the Fourth Proportional to 2,681.28, 4,021.38 and 733.68

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Solution

The fourth proportional to 2,681.28, 4,021.38 and 733.68 is: 1,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.28 : 4,021.38 = 733.68 : x
  2. Step 2: Convert to fraction form
    2,681.28/4,021.38 = 733.68/x
  3. Step 3: Cross multiply
    2,681.28x = 4,021.38 × 733.68
  4. Step 4: Simplify right side
    2,681.28x = 2,950,406.08
  5. Step 5: Solve for x
    x = 2,950,406.08/2,681.28
  6. Step 6: Final answer
    x = 1,100.37

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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.