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Finding the Fourth Proportional to 2,681.44, 4,022.10 and 733.62

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Solution

The fourth proportional to 2,681.44, 4,022.10 and 733.62 is: 1,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.44 : 4,022.10 = 733.62 : x
  2. Step 2: Convert to fraction form
    2,681.44/4,022.10 = 733.62/x
  3. Step 3: Cross multiply
    2,681.44x = 4,022.10 × 733.62
  4. Step 4: Simplify right side
    2,681.44x = 2,950,693.00
  5. Step 5: Solve for x
    x = 2,950,693.00/2,681.44
  6. Step 6: Final answer
    x = 1,100.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.