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Finding the Fourth Proportional to 2,846.64, 4,267.56 and 1,201.68

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Solution

The fourth proportional to 2,846.64, 4,267.56 and 1,201.68 is: 1,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.64 : 4,267.56 = 1,201.68 : x
  2. Step 2: Convert to fraction form
    2,846.64/4,267.56 = 1,201.68/x
  3. Step 3: Cross multiply
    2,846.64x = 4,267.56 × 1,201.68
  4. Step 4: Simplify right side
    2,846.64x = 5,128,241.50
  5. Step 5: Solve for x
    x = 5,128,241.50/2,846.64
  6. Step 6: Final answer
    x = 1,801.51

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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.