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Finding the Fourth Proportional to 3,102.94, 4,282.71 and 1,967.88

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Solution

The fourth proportional to 3,102.94, 4,282.71 and 1,967.88 is: 2,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,282.71 = 1,967.88 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,282.71 = 1,967.88/x
  3. Step 3: Cross multiply
    3,102.94x = 4,282.71 × 1,967.88
  4. Step 4: Simplify right side
    3,102.94x = 8,427,837.94
  5. Step 5: Solve for x
    x = 8,427,837.94/3,102.94
  6. Step 6: Final answer
    x = 2,716.08

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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.