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Finding the Fourth Proportional to 2,286.14, 3,426.51 and 986

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Solution

The fourth proportional to 2,286.14, 3,426.51 and 986 is: 1,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.14 : 3,426.51 = 986 : x
  2. Step 2: Convert to fraction form
    2,286.14/3,426.51 = 986/x
  3. Step 3: Cross multiply
    2,286.14x = 3,426.51 × 986
  4. Step 4: Simplify right side
    2,286.14x = 3,378,538.86
  5. Step 5: Solve for x
    x = 3,378,538.86/2,286.14
  6. Step 6: Final answer
    x = 1,477.84

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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.