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Finding the Fourth Proportional to 1,936.71, 2,668.14 and 1,346.22

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Solution

The fourth proportional to 1,936.71, 2,668.14 and 1,346.22 is: 1,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.71 : 2,668.14 = 1,346.22 : x
  2. Step 2: Convert to fraction form
    1,936.71/2,668.14 = 1,346.22/x
  3. Step 3: Cross multiply
    1,936.71x = 2,668.14 × 1,346.22
  4. Step 4: Simplify right side
    1,936.71x = 3,591,903.43
  5. Step 5: Solve for x
    x = 3,591,903.43/1,936.71
  6. Step 6: Final answer
    x = 1,854.64

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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.