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Finding the Fourth Proportional to 2,733.72, 4,100.52 and 681.72

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Solution

The fourth proportional to 2,733.72, 4,100.52 and 681.72 is: 1,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.72 : 4,100.52 = 681.72 : x
  2. Step 2: Convert to fraction form
    2,733.72/4,100.52 = 681.72/x
  3. Step 3: Cross multiply
    2,733.72x = 4,100.52 × 681.72
  4. Step 4: Simplify right side
    2,733.72x = 2,795,406.49
  5. Step 5: Solve for x
    x = 2,795,406.49/2,733.72
  6. Step 6: Final answer
    x = 1,022.57

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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.