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Finding the Fourth Proportional to 1,961.71, 2,708.42 and 1,216.46

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Solution

The fourth proportional to 1,961.71, 2,708.42 and 1,216.46 is: 1,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.71 : 2,708.42 = 1,216.46 : x
  2. Step 2: Convert to fraction form
    1,961.71/2,708.42 = 1,216.46/x
  3. Step 3: Cross multiply
    1,961.71x = 2,708.42 × 1,216.46
  4. Step 4: Simplify right side
    1,961.71x = 3,294,684.59
  5. Step 5: Solve for x
    x = 3,294,684.59/1,961.71
  6. Step 6: Final answer
    x = 1,679.50

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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.