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Finding the Fourth Proportional to 2,843, 4,266.12 and 1,200.60

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Solution

The fourth proportional to 2,843, 4,266.12 and 1,200.60 is: 1,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843 : 4,266.12 = 1,200.60 : x
  2. Step 2: Convert to fraction form
    2,843/4,266.12 = 1,200.60/x
  3. Step 3: Cross multiply
    2,843x = 4,266.12 × 1,200.60
  4. Step 4: Simplify right side
    2,843x = 5,121,903.67
  5. Step 5: Solve for x
    x = 5,121,903.67/2,843
  6. Step 6: Final answer
    x = 1,801.58

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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.