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Finding the Fourth Proportional to 2,681.32, 4,022.03 and 733.57

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Solution

The fourth proportional to 2,681.32, 4,022.03 and 733.57 is: 1,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.32 : 4,022.03 = 733.57 : x
  2. Step 2: Convert to fraction form
    2,681.32/4,022.03 = 733.57/x
  3. Step 3: Cross multiply
    2,681.32x = 4,022.03 × 733.57
  4. Step 4: Simplify right side
    2,681.32x = 2,950,440.55
  5. Step 5: Solve for x
    x = 2,950,440.55/2,681.32
  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.