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Finding the Fourth Proportional to 3,453.71, 4,766.04 and 1,961.69

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Solution

The fourth proportional to 3,453.71, 4,766.04 and 1,961.69 is: 2,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.71 : 4,766.04 = 1,961.69 : x
  2. Step 2: Convert to fraction form
    3,453.71/4,766.04 = 1,961.69/x
  3. Step 3: Cross multiply
    3,453.71x = 4,766.04 × 1,961.69
  4. Step 4: Simplify right side
    3,453.71x = 9,349,469.18
  5. Step 5: Solve for x
    x = 9,349,469.18/3,453.71
  6. Step 6: Final answer
    x = 2,707.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.