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Finding the Fourth Proportional to 1,277.20, 1,912.20 and 1,147.60

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Solution

The fourth proportional to 1,277.20, 1,912.20 and 1,147.60 is: 1,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.20 : 1,912.20 = 1,147.60 : x
  2. Step 2: Convert to fraction form
    1,277.20/1,912.20 = 1,147.60/x
  3. Step 3: Cross multiply
    1,277.20x = 1,912.20 × 1,147.60
  4. Step 4: Simplify right side
    1,277.20x = 2,194,440.72
  5. Step 5: Solve for x
    x = 2,194,440.72/1,277.20
  6. Step 6: Final answer
    x = 1,718.17

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