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Finding the Fourth Proportional to 1,349.15, 1,857.80 and 1,251.14

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Solution

The fourth proportional to 1,349.15, 1,857.80 and 1,251.14 is: 1,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.15 : 1,857.80 = 1,251.14 : x
  2. Step 2: Convert to fraction form
    1,349.15/1,857.80 = 1,251.14/x
  3. Step 3: Cross multiply
    1,349.15x = 1,857.80 × 1,251.14
  4. Step 4: Simplify right side
    1,349.15x = 2,324,361.73
  5. Step 5: Solve for x
    x = 2,324,361.73/1,349.15
  6. Step 6: Final answer
    x = 1,722.84

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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.