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Finding the Fourth Proportional to 2,186.97, 3,282.02 and 1,076.14

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Solution

The fourth proportional to 2,186.97, 3,282.02 and 1,076.14 is: 1,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.97 : 3,282.02 = 1,076.14 : x
  2. Step 2: Convert to fraction form
    2,186.97/3,282.02 = 1,076.14/x
  3. Step 3: Cross multiply
    2,186.97x = 3,282.02 × 1,076.14
  4. Step 4: Simplify right side
    2,186.97x = 3,531,913.00
  5. Step 5: Solve for x
    x = 3,531,913.00/2,186.97
  6. Step 6: Final answer
    x = 1,614.98

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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.