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Finding the Fourth Proportional to 2,747.88, 4,120.50 and 1,285.80

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Solution

The fourth proportional to 2,747.88, 4,120.50 and 1,285.80 is: 1,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.88 : 4,120.50 = 1,285.80 : x
  2. Step 2: Convert to fraction form
    2,747.88/4,120.50 = 1,285.80/x
  3. Step 3: Cross multiply
    2,747.88x = 4,120.50 × 1,285.80
  4. Step 4: Simplify right side
    2,747.88x = 5,298,138.90
  5. Step 5: Solve for x
    x = 5,298,138.90/2,747.88
  6. Step 6: Final answer
    x = 1,928.08

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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.