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Finding the Fourth Proportional to 2,190.84, 3,286.08 and 651.84

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Solution

The fourth proportional to 2,190.84, 3,286.08 and 651.84 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.84 : 3,286.08 = 651.84 : x
  2. Step 2: Convert to fraction form
    2,190.84/3,286.08 = 651.84/x
  3. Step 3: Cross multiply
    2,190.84x = 3,286.08 × 651.84
  4. Step 4: Simplify right side
    2,190.84x = 2,141,998.39
  5. Step 5: Solve for x
    x = 2,141,998.39/2,190.84
  6. Step 6: Final answer
    x = 977.71

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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.