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Finding the Fourth Proportional to 1,280.94, 1,912.88 and 1,267.23

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Solution

The fourth proportional to 1,280.94, 1,912.88 and 1,267.23 is: 1,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.94 : 1,912.88 = 1,267.23 : x
  2. Step 2: Convert to fraction form
    1,280.94/1,912.88 = 1,267.23/x
  3. Step 3: Cross multiply
    1,280.94x = 1,912.88 × 1,267.23
  4. Step 4: Simplify right side
    1,280.94x = 2,424,052.59
  5. Step 5: Solve for x
    x = 2,424,052.59/1,280.94
  6. Step 6: Final answer
    x = 1,892.40

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Why These Related Problems?

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