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Finding the Fourth Proportional to 3,186.92, 4,777.68 and 1,431.56

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Solution

The fourth proportional to 3,186.92, 4,777.68 and 1,431.56 is: 2,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.92 : 4,777.68 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    3,186.92/4,777.68 = 1,431.56/x
  3. Step 3: Cross multiply
    3,186.92x = 4,777.68 × 1,431.56
  4. Step 4: Simplify right side
    3,186.92x = 6,839,535.58
  5. Step 5: Solve for x
    x = 6,839,535.58/3,186.92
  6. Step 6: Final answer
    x = 2,146.13

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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.