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Finding the Fourth Proportional to 3,100.80, 4,277.41 and 1,964.39

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Solution

The fourth proportional to 3,100.80, 4,277.41 and 1,964.39 is: 2,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.80 : 4,277.41 = 1,964.39 : x
  2. Step 2: Convert to fraction form
    3,100.80/4,277.41 = 1,964.39/x
  3. Step 3: Cross multiply
    3,100.80x = 4,277.41 × 1,964.39
  4. Step 4: Simplify right side
    3,100.80x = 8,402,507.21
  5. Step 5: Solve for x
    x = 8,402,507.21/3,100.80
  6. Step 6: Final answer
    x = 2,709.79

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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.