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Finding the Fourth Proportional to 1,286.26, 1,918.10 and 1,274.57

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Solution

The fourth proportional to 1,286.26, 1,918.10 and 1,274.57 is: 1,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.26 : 1,918.10 = 1,274.57 : x
  2. Step 2: Convert to fraction form
    1,286.26/1,918.10 = 1,274.57/x
  3. Step 3: Cross multiply
    1,286.26x = 1,918.10 × 1,274.57
  4. Step 4: Simplify right side
    1,286.26x = 2,444,752.72
  5. Step 5: Solve for x
    x = 2,444,752.72/1,286.26
  6. Step 6: Final answer
    x = 1,900.67

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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.