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Finding the Fourth Proportional to 1,286.20, 1,918.00 and 1,274.50

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Solution

The fourth proportional to 1,286.20, 1,918.00 and 1,274.50 is: 1,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.20 : 1,918.00 = 1,274.50 : x
  2. Step 2: Convert to fraction form
    1,286.20/1,918.00 = 1,274.50/x
  3. Step 3: Cross multiply
    1,286.20x = 1,918.00 × 1,274.50
  4. Step 4: Simplify right side
    1,286.20x = 2,444,487.81
  5. Step 5: Solve for x
    x = 2,444,487.81/1,286.20
  6. Step 6: Final answer
    x = 1,900.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.