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Finding the Fourth Proportional to 2,170.37, 2,993.92 and 1,286.01

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Solution

The fourth proportional to 2,170.37, 2,993.92 and 1,286.01 is: 1,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.37 : 2,993.92 = 1,286.01 : x
  2. Step 2: Convert to fraction form
    2,170.37/2,993.92 = 1,286.01/x
  3. Step 3: Cross multiply
    2,170.37x = 2,993.92 × 1,286.01
  4. Step 4: Simplify right side
    2,170.37x = 3,850,204.63
  5. Step 5: Solve for x
    x = 3,850,204.63/2,170.37
  6. Step 6: Final answer
    x = 1,773.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.