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Finding the Fourth Proportional to 3,191.06, 4,777.31 and 1,954.69

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Solution

The fourth proportional to 3,191.06, 4,777.31 and 1,954.69 is: 2,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.06 : 4,777.31 = 1,954.69 : x
  2. Step 2: Convert to fraction form
    3,191.06/4,777.31 = 1,954.69/x
  3. Step 3: Cross multiply
    3,191.06x = 4,777.31 × 1,954.69
  4. Step 4: Simplify right side
    3,191.06x = 9,338,153.03
  5. Step 5: Solve for x
    x = 9,338,153.03/3,191.06
  6. Step 6: Final answer
    x = 2,926.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.