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Finding the Fourth Proportional to 1,469.88, 2,200.70 and 1,078.65

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Solution

The fourth proportional to 1,469.88, 2,200.70 and 1,078.65 is: 1,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.88 : 2,200.70 = 1,078.65 : x
  2. Step 2: Convert to fraction form
    1,469.88/2,200.70 = 1,078.65/x
  3. Step 3: Cross multiply
    1,469.88x = 2,200.70 × 1,078.65
  4. Step 4: Simplify right side
    1,469.88x = 2,373,787.75
  5. Step 5: Solve for x
    x = 2,373,787.75/1,469.88
  6. Step 6: Final answer
    x = 1,614.95

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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.