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Finding the Fourth Proportional to 1,277.47, 1,912.49 and 949.86

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Solution

The fourth proportional to 1,277.47, 1,912.49 and 949.86 is: 1,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.47 : 1,912.49 = 949.86 : x
  2. Step 2: Convert to fraction form
    1,277.47/1,912.49 = 949.86/x
  3. Step 3: Cross multiply
    1,277.47x = 1,912.49 × 949.86
  4. Step 4: Simplify right side
    1,277.47x = 1,816,597.75
  5. Step 5: Solve for x
    x = 1,816,597.75/1,277.47
  6. Step 6: Final answer
    x = 1,422.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.